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Finding the Third Proportional to 209,630.25 and 296,341.88

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Solution

The third proportional to 209,630.25 and 296,341.88 is: 418,920.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,630.25 : 296,341.88 = 296,341.88 : x
  2. Step 2: Convert to fraction form
    209,630.25/296,341.88 = 296,341.88/x
  3. Step 3: Cross multiply
    209,630.25x = 296,341.88 × 296,341.88
  4. Step 4: Simplify right side
    209,630.25x = 87,818,506,878.52
  5. Step 5: Solve for x
    x = 87,818,506,878.52/209,630.25
  6. Step 6: Final answer
    x = 418,920.97

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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.