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Finding the Third Proportional to 129,744 and 283,572

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Solution

The third proportional to 129,744 and 283,572 is: 619,782.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,744 : 283,572 = 283,572 : x
  2. Step 2: Convert to fraction form
    129,744/283,572 = 283,572/x
  3. Step 3: Cross multiply
    129,744x = 283,572 × 283,572
  4. Step 4: Simplify right side
    129,744x = 80,413,079,184
  5. Step 5: Solve for x
    x = 80,413,079,184/129,744
  6. Step 6: Final answer
    x = 619,782.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.