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Finding the Third Proportional to 102,384 and 220,572

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Solution

The third proportional to 102,384 and 220,572 is: 475,191.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,384 : 220,572 = 220,572 : x
  2. Step 2: Convert to fraction form
    102,384/220,572 = 220,572/x
  3. Step 3: Cross multiply
    102,384x = 220,572 × 220,572
  4. Step 4: Simplify right side
    102,384x = 48,652,007,184
  5. Step 5: Solve for x
    x = 48,652,007,184/102,384
  6. Step 6: Final answer
    x = 475,191.51

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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.