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Finding the Third Proportional to 145,711.41 and 313,566.19

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Solution

The third proportional to 145,711.41 and 313,566.19 is: 674,784.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,711.41 : 313,566.19 = 313,566.19 : x
  2. Step 2: Convert to fraction form
    145,711.41/313,566.19 = 313,566.19/x
  3. Step 3: Cross multiply
    145,711.41x = 313,566.19 × 313,566.19
  4. Step 4: Simplify right side
    145,711.41x = 98,323,753,943.29
  5. Step 5: Solve for x
    x = 98,323,753,943.29/145,711.41
  6. Step 6: Final answer
    x = 674,784.19

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.