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Finding the Third Proportional to 202,024.13 and 316,978.31

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Solution

The third proportional to 202,024.13 and 316,978.31 is: 497,342.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,024.13 : 316,978.31 = 316,978.31 : x
  2. Step 2: Convert to fraction form
    202,024.13/316,978.31 = 316,978.31/x
  3. Step 3: Cross multiply
    202,024.13x = 316,978.31 × 316,978.31
  4. Step 4: Simplify right side
    202,024.13x = 100,475,250,595.35
  5. Step 5: Solve for x
    x = 100,475,250,595.35/202,024.13
  6. Step 6: Final answer
    x = 497,342.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.