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Finding the Third Proportional to 135,942.47 and 291,567.94

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Solution

The third proportional to 135,942.47 and 291,567.94 is: 625,351.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,942.47 : 291,567.94 = 291,567.94 : x
  2. Step 2: Convert to fraction form
    135,942.47/291,567.94 = 291,567.94/x
  3. Step 3: Cross multiply
    135,942.47x = 291,567.94 × 291,567.94
  4. Step 4: Simplify right side
    135,942.47x = 85,011,862,178.00
  5. Step 5: Solve for x
    x = 85,011,862,178.00/135,942.47
  6. Step 6: Final answer
    x = 625,351.76

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Why These Related Problems?

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