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Finding the Third Proportional to 135,937.69 and 291,557.81

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Solution

The third proportional to 135,937.69 and 291,557.81 is: 625,330.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,937.69 : 291,557.81 = 291,557.81 : x
  2. Step 2: Convert to fraction form
    135,937.69/291,557.81 = 291,557.81/x
  3. Step 3: Cross multiply
    135,937.69x = 291,557.81 × 291,557.81
  4. Step 4: Simplify right side
    135,937.69x = 85,005,958,029.79
  5. Step 5: Solve for x
    x = 85,005,958,029.79/135,937.69
  6. Step 6: Final answer
    x = 625,330.32

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.