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Finding the Third Proportional to 97,250 and 225,272

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Solution

The third proportional to 97,250 and 225,272 is: 521,824.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,250 : 225,272 = 225,272 : x
  2. Step 2: Convert to fraction form
    97,250/225,272 = 225,272/x
  3. Step 3: Cross multiply
    97,250x = 225,272 × 225,272
  4. Step 4: Simplify right side
    97,250x = 50,747,473,984
  5. Step 5: Solve for x
    x = 50,747,473,984/97,250
  6. Step 6: Final answer
    x = 521,824.93

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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.