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Finding the Third Proportional to 158,442 and 344,208

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Solution

The third proportional to 158,442 and 344,208 is: 747,776.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,442 : 344,208 = 344,208 : x
  2. Step 2: Convert to fraction form
    158,442/344,208 = 344,208/x
  3. Step 3: Cross multiply
    158,442x = 344,208 × 344,208
  4. Step 4: Simplify right side
    158,442x = 118,479,147,264
  5. Step 5: Solve for x
    x = 118,479,147,264/158,442
  6. Step 6: Final answer
    x = 747,776.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.