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Finding the Third Proportional to 239,893.03 and 513,001.13

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Solution

The third proportional to 239,893.03 and 513,001.13 is: 1,097,031.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,893.03 : 513,001.13 = 513,001.13 : x
  2. Step 2: Convert to fraction form
    239,893.03/513,001.13 = 513,001.13/x
  3. Step 3: Cross multiply
    239,893.03x = 513,001.13 × 513,001.13
  4. Step 4: Simplify right side
    239,893.03x = 263,170,154,251.27
  5. Step 5: Solve for x
    x = 263,170,154,251.27/239,893.03
  6. Step 6: Final answer
    x = 1,097,031.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.