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Finding the Third Proportional to 201,931.13 and 316,798.31

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Solution

The third proportional to 201,931.13 and 316,798.31 is: 497,006.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,931.13 : 316,798.31 = 316,798.31 : x
  2. Step 2: Convert to fraction form
    201,931.13/316,798.31 = 316,798.31/x
  3. Step 3: Cross multiply
    201,931.13x = 316,798.31 × 316,798.31
  4. Step 4: Simplify right side
    201,931.13x = 100,361,170,802.85
  5. Step 5: Solve for x
    x = 100,361,170,802.85/201,931.13
  6. Step 6: Final answer
    x = 497,006.94

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