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Finding the Third Proportional to 158,520 and 338,424

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Solution

The third proportional to 158,520 and 338,424 is: 722,500.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,520 : 338,424 = 338,424 : x
  2. Step 2: Convert to fraction form
    158,520/338,424 = 338,424/x
  3. Step 3: Cross multiply
    158,520x = 338,424 × 338,424
  4. Step 4: Simplify right side
    158,520x = 114,530,803,776
  5. Step 5: Solve for x
    x = 114,530,803,776/158,520
  6. Step 6: Final answer
    x = 722,500.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.