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Finding the Third Proportional to 97,406 and 209,376

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Solution

The third proportional to 97,406 and 209,376 is: 450,057.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,406 : 209,376 = 209,376 : x
  2. Step 2: Convert to fraction form
    97,406/209,376 = 209,376/x
  3. Step 3: Cross multiply
    97,406x = 209,376 × 209,376
  4. Step 4: Simplify right side
    97,406x = 43,838,309,376
  5. Step 5: Solve for x
    x = 43,838,309,376/97,406
  6. Step 6: Final answer
    x = 450,057.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.