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Finding the Third Proportional to 236,422.50 and 513,033

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Solution

The third proportional to 236,422.50 and 513,033 is: 1,113,273.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,422.50 : 513,033 = 513,033 : x
  2. Step 2: Convert to fraction form
    236,422.50/513,033 = 513,033/x
  3. Step 3: Cross multiply
    236,422.50x = 513,033 × 513,033
  4. Step 4: Simplify right side
    236,422.50x = 263,202,859,089
  5. Step 5: Solve for x
    x = 263,202,859,089/236,422.50
  6. Step 6: Final answer
    x = 1,113,273.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.