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Finding the Third Proportional to 129,444 and 276,882

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Solution

The third proportional to 129,444 and 276,882 is: 592,253.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,444 : 276,882 = 276,882 : x
  2. Step 2: Convert to fraction form
    129,444/276,882 = 276,882/x
  3. Step 3: Cross multiply
    129,444x = 276,882 × 276,882
  4. Step 4: Simplify right side
    129,444x = 76,663,641,924
  5. Step 5: Solve for x
    x = 76,663,641,924/129,444
  6. Step 6: Final answer
    x = 592,253.34

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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.