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Finding the Third Proportional to 238,160 and 513,710

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Solution

The third proportional to 238,160 and 513,710 is: 1,108,070.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,160 : 513,710 = 513,710 : x
  2. Step 2: Convert to fraction form
    238,160/513,710 = 513,710/x
  3. Step 3: Cross multiply
    238,160x = 513,710 × 513,710
  4. Step 4: Simplify right side
    238,160x = 263,897,964,100
  5. Step 5: Solve for x
    x = 263,897,964,100/238,160
  6. Step 6: Final answer
    x = 1,108,070.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.