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Finding the Third Proportional to 131,904 and 279,540

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Solution

The third proportional to 131,904 and 279,540 is: 592,420.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,904 : 279,540 = 279,540 : x
  2. Step 2: Convert to fraction form
    131,904/279,540 = 279,540/x
  3. Step 3: Cross multiply
    131,904x = 279,540 × 279,540
  4. Step 4: Simplify right side
    131,904x = 78,142,611,600
  5. Step 5: Solve for x
    x = 78,142,611,600/131,904
  6. Step 6: Final answer
    x = 592,420.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.