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Finding the Third Proportional to 132,894 and 284,229

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Solution

The third proportional to 132,894 and 284,229 is: 607,898.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,894 : 284,229 = 284,229 : x
  2. Step 2: Convert to fraction form
    132,894/284,229 = 284,229/x
  3. Step 3: Cross multiply
    132,894x = 284,229 × 284,229
  4. Step 4: Simplify right side
    132,894x = 80,786,124,441
  5. Step 5: Solve for x
    x = 80,786,124,441/132,894
  6. Step 6: Final answer
    x = 607,898.96

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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.