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Finding the Third Proportional to 134,607.94 and 208,402.59

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Solution

The third proportional to 134,607.94 and 208,402.59 is: 322,652.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,607.94 : 208,402.59 = 208,402.59 : x
  2. Step 2: Convert to fraction form
    134,607.94/208,402.59 = 208,402.59/x
  3. Step 3: Cross multiply
    134,607.94x = 208,402.59 × 208,402.59
  4. Step 4: Simplify right side
    134,607.94x = 43,431,641,081.73
  5. Step 5: Solve for x
    x = 43,431,641,081.73/134,607.94
  6. Step 6: Final answer
    x = 322,652.90

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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.