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Finding the Third Proportional to 209,626 and 296,335

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Solution

The third proportional to 209,626 and 296,335 is: 418,910.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,626 : 296,335 = 296,335 : x
  2. Step 2: Convert to fraction form
    209,626/296,335 = 296,335/x
  3. Step 3: Cross multiply
    209,626x = 296,335 × 296,335
  4. Step 4: Simplify right side
    209,626x = 87,814,432,225
  5. Step 5: Solve for x
    x = 87,814,432,225/209,626
  6. Step 6: Final answer
    x = 418,910.02

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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.