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Finding the Third Proportional to 102,708 and 220,746

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Solution

The third proportional to 102,708 and 220,746 is: 474,440.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,708 : 220,746 = 220,746 : x
  2. Step 2: Convert to fraction form
    102,708/220,746 = 220,746/x
  3. Step 3: Cross multiply
    102,708x = 220,746 × 220,746
  4. Step 4: Simplify right side
    102,708x = 48,728,796,516
  5. Step 5: Solve for x
    x = 48,728,796,516/102,708
  6. Step 6: Final answer
    x = 474,440.13

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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.