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Finding the Third Proportional to 102,392 and 220,332

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Solution

The third proportional to 102,392 and 220,332 is: 474,120.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,392 : 220,332 = 220,332 : x
  2. Step 2: Convert to fraction form
    102,392/220,332 = 220,332/x
  3. Step 3: Cross multiply
    102,392x = 220,332 × 220,332
  4. Step 4: Simplify right side
    102,392x = 48,546,190,224
  5. Step 5: Solve for x
    x = 48,546,190,224/102,392
  6. Step 6: Final answer
    x = 474,120.93

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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.