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Finding the Third Proportional to 209,598 and 296,292

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Solution

The third proportional to 209,598 and 296,292 is: 418,844.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,598 : 296,292 = 296,292 : x
  2. Step 2: Convert to fraction form
    209,598/296,292 = 296,292/x
  3. Step 3: Cross multiply
    209,598x = 296,292 × 296,292
  4. Step 4: Simplify right side
    209,598x = 87,788,949,264
  5. Step 5: Solve for x
    x = 87,788,949,264/209,598
  6. Step 6: Final answer
    x = 418,844.40

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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.