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Finding the Third Proportional to 101,410 and 220,259

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Solution

The third proportional to 101,410 and 220,259 is: 478,394.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,410 : 220,259 = 220,259 : x
  2. Step 2: Convert to fraction form
    101,410/220,259 = 220,259/x
  3. Step 3: Cross multiply
    101,410x = 220,259 × 220,259
  4. Step 4: Simplify right side
    101,410x = 48,514,027,081
  5. Step 5: Solve for x
    x = 48,514,027,081/101,410
  6. Step 6: Final answer
    x = 478,394.90

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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.