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Finding the Third Proportional to 209,630 and 296,331

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Solution

The third proportional to 209,630 and 296,331 is: 418,890.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,630 : 296,331 = 296,331 : x
  2. Step 2: Convert to fraction form
    209,630/296,331 = 296,331/x
  3. Step 3: Cross multiply
    209,630x = 296,331 × 296,331
  4. Step 4: Simplify right side
    209,630x = 87,812,061,561
  5. Step 5: Solve for x
    x = 87,812,061,561/209,630
  6. Step 6: Final answer
    x = 418,890.72

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.