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Finding the Third Proportional to 97,250 and 209,404

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Solution

The third proportional to 97,250 and 209,404 is: 450,900.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,250 : 209,404 = 209,404 : x
  2. Step 2: Convert to fraction form
    97,250/209,404 = 209,404/x
  3. Step 3: Cross multiply
    97,250x = 209,404 × 209,404
  4. Step 4: Simplify right side
    97,250x = 43,850,035,216
  5. Step 5: Solve for x
    x = 43,850,035,216/97,250
  6. Step 6: Final answer
    x = 450,900.11

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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.