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Finding the Third Proportional to 131,942 and 288,076

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Solution

The third proportional to 131,942 and 288,076 is: 628,971.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,942 : 288,076 = 288,076 : x
  2. Step 2: Convert to fraction form
    131,942/288,076 = 288,076/x
  3. Step 3: Cross multiply
    131,942x = 288,076 × 288,076
  4. Step 4: Simplify right side
    131,942x = 82,987,781,776
  5. Step 5: Solve for x
    x = 82,987,781,776/131,942
  6. Step 6: Final answer
    x = 628,971.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.