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Finding the Third Proportional to 102,656.25 and 220,419

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Solution

The third proportional to 102,656.25 and 220,419 is: 473,274.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,656.25 : 220,419 = 220,419 : x
  2. Step 2: Convert to fraction form
    102,656.25/220,419 = 220,419/x
  3. Step 3: Cross multiply
    102,656.25x = 220,419 × 220,419
  4. Step 4: Simplify right side
    102,656.25x = 48,584,535,561
  5. Step 5: Solve for x
    x = 48,584,535,561/102,656.25
  6. Step 6: Final answer
    x = 473,274.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.