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Finding the Third Proportional to 97,248 and 225,267

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Solution

The third proportional to 97,248 and 225,267 is: 521,812.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,248 : 225,267 = 225,267 : x
  2. Step 2: Convert to fraction form
    97,248/225,267 = 225,267/x
  3. Step 3: Cross multiply
    97,248x = 225,267 × 225,267
  4. Step 4: Simplify right side
    97,248x = 50,745,221,289
  5. Step 5: Solve for x
    x = 50,745,221,289/97,248
  6. Step 6: Final answer
    x = 521,812.49

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.