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Finding the Third Proportional to 134,614.13 and 208,411.88

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Solution

The third proportional to 134,614.13 and 208,411.88 is: 322,666.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,614.13 : 208,411.88 = 208,411.88 : x
  2. Step 2: Convert to fraction form
    134,614.13/208,411.88 = 208,411.88/x
  3. Step 3: Cross multiply
    134,614.13x = 208,411.88 × 208,411.88
  4. Step 4: Simplify right side
    134,614.13x = 43,435,509,641.02
  5. Step 5: Solve for x
    x = 43,435,509,641.02/134,614.13
  6. Step 6: Final answer
    x = 322,666.81

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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.