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Finding the Third Proportional to 158,447 and 344,218

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Solution

The third proportional to 158,447 and 344,218 is: 747,795.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,447 : 344,218 = 344,218 : x
  2. Step 2: Convert to fraction form
    158,447/344,218 = 344,218/x
  3. Step 3: Cross multiply
    158,447x = 344,218 × 344,218
  4. Step 4: Simplify right side
    158,447x = 118,486,031,524
  5. Step 5: Solve for x
    x = 118,486,031,524/158,447
  6. Step 6: Final answer
    x = 747,795.99

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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.