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Finding the Third Proportional to 159,448 and 338,332

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Solution

The third proportional to 159,448 and 338,332 is: 717,905.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,448 : 338,332 = 338,332 : x
  2. Step 2: Convert to fraction form
    159,448/338,332 = 338,332/x
  3. Step 3: Cross multiply
    159,448x = 338,332 × 338,332
  4. Step 4: Simplify right side
    159,448x = 114,468,542,224
  5. Step 5: Solve for x
    x = 114,468,542,224/159,448
  6. Step 6: Final answer
    x = 717,905.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.