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Finding the Third Proportional to 141,760.13 and 306,088.88

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Solution

The third proportional to 141,760.13 and 306,088.88 is: 660,907.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,760.13 : 306,088.88 = 306,088.88 : x
  2. Step 2: Convert to fraction form
    141,760.13/306,088.88 = 306,088.88/x
  3. Step 3: Cross multiply
    141,760.13x = 306,088.88 × 306,088.88
  4. Step 4: Simplify right side
    141,760.13x = 93,690,399,398.77
  5. Step 5: Solve for x
    x = 93,690,399,398.77/141,760.13
  6. Step 6: Final answer
    x = 660,907.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.