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Finding the Third Proportional to 133,594 and 178,791

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Solution

The third proportional to 133,594 and 178,791 is: 239,278.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,594 : 178,791 = 178,791 : x
  2. Step 2: Convert to fraction form
    133,594/178,791 = 178,791/x
  3. Step 3: Cross multiply
    133,594x = 178,791 × 178,791
  4. Step 4: Simplify right side
    133,594x = 31,966,221,681
  5. Step 5: Solve for x
    x = 31,966,221,681/133,594
  6. Step 6: Final answer
    x = 239,278.87

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.