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Finding the Third Proportional to 106,290 and 225,540

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Solution

The third proportional to 106,290 and 225,540 is: 478,580.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,290 : 225,540 = 225,540 : x
  2. Step 2: Convert to fraction form
    106,290/225,540 = 225,540/x
  3. Step 3: Cross multiply
    106,290x = 225,540 × 225,540
  4. Step 4: Simplify right side
    106,290x = 50,868,291,600
  5. Step 5: Solve for x
    x = 50,868,291,600/106,290
  6. Step 6: Final answer
    x = 478,580.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.