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Finding the Third Proportional to 204,130.13 and 317,373.19

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Solution

The third proportional to 204,130.13 and 317,373.19 is: 493,438.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,130.13 : 317,373.19 = 317,373.19 : x
  2. Step 2: Convert to fraction form
    204,130.13/317,373.19 = 317,373.19/x
  3. Step 3: Cross multiply
    204,130.13x = 317,373.19 × 317,373.19
  4. Step 4: Simplify right side
    204,130.13x = 100,725,740,143.91
  5. Step 5: Solve for x
    x = 100,725,740,143.91/204,130.13
  6. Step 6: Final answer
    x = 493,438.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.