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Finding the Third Proportional to 129,468 and 276,925

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Solution

The third proportional to 129,468 and 276,925 is: 592,327.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,468 : 276,925 = 276,925 : x
  2. Step 2: Convert to fraction form
    129,468/276,925 = 276,925/x
  3. Step 3: Cross multiply
    129,468x = 276,925 × 276,925
  4. Step 4: Simplify right side
    129,468x = 76,687,455,625
  5. Step 5: Solve for x
    x = 76,687,455,625/129,468
  6. Step 6: Final answer
    x = 592,327.49

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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.