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Finding the Third Proportional to 97,254 and 225,282

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Solution

The third proportional to 97,254 and 225,282 is: 521,849.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,254 : 225,282 = 225,282 : x
  2. Step 2: Convert to fraction form
    97,254/225,282 = 225,282/x
  3. Step 3: Cross multiply
    97,254x = 225,282 × 225,282
  4. Step 4: Simplify right side
    97,254x = 50,751,979,524
  5. Step 5: Solve for x
    x = 50,751,979,524/97,254
  6. Step 6: Final answer
    x = 521,849.79

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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.