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Finding the Third Proportional to 101,745 and 220,438

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Solution

The third proportional to 101,745 and 220,438 is: 477,595.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,745 : 220,438 = 220,438 : x
  2. Step 2: Convert to fraction form
    101,745/220,438 = 220,438/x
  3. Step 3: Cross multiply
    101,745x = 220,438 × 220,438
  4. Step 4: Simplify right side
    101,745x = 48,592,911,844
  5. Step 5: Solve for x
    x = 48,592,911,844/101,745
  6. Step 6: Final answer
    x = 477,595.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.