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Finding the Third Proportional to 100,332 and 215,352

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Solution

The third proportional to 100,332 and 215,352 is: 462,230.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,332 : 215,352 = 215,352 : x
  2. Step 2: Convert to fraction form
    100,332/215,352 = 215,352/x
  3. Step 3: Cross multiply
    100,332x = 215,352 × 215,352
  4. Step 4: Simplify right side
    100,332x = 46,376,483,904
  5. Step 5: Solve for x
    x = 46,376,483,904/100,332
  6. Step 6: Final answer
    x = 462,230.23

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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.