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Finding the Third Proportional to 131,252 and 286,564

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Solution

The third proportional to 131,252 and 286,564 is: 625,658.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,252 : 286,564 = 286,564 : x
  2. Step 2: Convert to fraction form
    131,252/286,564 = 286,564/x
  3. Step 3: Cross multiply
    131,252x = 286,564 × 286,564
  4. Step 4: Simplify right side
    131,252x = 82,118,926,096
  5. Step 5: Solve for x
    x = 82,118,926,096/131,252
  6. Step 6: Final answer
    x = 625,658.47

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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.