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Finding the Third Proportional to 201,115.13 and 311,605.88

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Solution

The third proportional to 201,115.13 and 311,605.88 is: 482,799.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,115.13 : 311,605.88 = 311,605.88 : x
  2. Step 2: Convert to fraction form
    201,115.13/311,605.88 = 311,605.88/x
  3. Step 3: Cross multiply
    201,115.13x = 311,605.88 × 311,605.88
  4. Step 4: Simplify right side
    201,115.13x = 97,098,221,334.52
  5. Step 5: Solve for x
    x = 97,098,221,334.52/201,115.13
  6. Step 6: Final answer
    x = 482,799.20

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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.