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Finding the Third Proportional to 132,436 and 289,630

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Solution

The third proportional to 132,436 and 289,630 is: 633,404.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,436 : 289,630 = 289,630 : x
  2. Step 2: Convert to fraction form
    132,436/289,630 = 289,630/x
  3. Step 3: Cross multiply
    132,436x = 289,630 × 289,630
  4. Step 4: Simplify right side
    132,436x = 83,885,536,900
  5. Step 5: Solve for x
    x = 83,885,536,900/132,436
  6. Step 6: Final answer
    x = 633,404.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.