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Finding the Third Proportional to 198,424 and 468,309

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Solution

The third proportional to 198,424 and 468,309 is: 1,105,276.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,424 : 468,309 = 468,309 : x
  2. Step 2: Convert to fraction form
    198,424/468,309 = 468,309/x
  3. Step 3: Cross multiply
    198,424x = 468,309 × 468,309
  4. Step 4: Simplify right side
    198,424x = 219,313,319,481
  5. Step 5: Solve for x
    x = 219,313,319,481/198,424
  6. Step 6: Final answer
    x = 1,105,276.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.