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Finding the Third Proportional to 136,791 and 282,564

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Solution

The third proportional to 136,791 and 282,564 is: 583,681.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,791 : 282,564 = 282,564 : x
  2. Step 2: Convert to fraction form
    136,791/282,564 = 282,564/x
  3. Step 3: Cross multiply
    136,791x = 282,564 × 282,564
  4. Step 4: Simplify right side
    136,791x = 79,842,414,096
  5. Step 5: Solve for x
    x = 79,842,414,096/136,791
  6. Step 6: Final answer
    x = 583,681.78

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.