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Finding the Third Proportional to 102,024 and 220,670

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Solution

The third proportional to 102,024 and 220,670 is: 477,292.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,024 : 220,670 = 220,670 : x
  2. Step 2: Convert to fraction form
    102,024/220,670 = 220,670/x
  3. Step 3: Cross multiply
    102,024x = 220,670 × 220,670
  4. Step 4: Simplify right side
    102,024x = 48,695,248,900
  5. Step 5: Solve for x
    x = 48,695,248,900/102,024
  6. Step 6: Final answer
    x = 477,292.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.