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Finding the Third Proportional to 170,124 and 372,498

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Solution

The third proportional to 170,124 and 372,498 is: 815,609.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,124 : 372,498 = 372,498 : x
  2. Step 2: Convert to fraction form
    170,124/372,498 = 372,498/x
  3. Step 3: Cross multiply
    170,124x = 372,498 × 372,498
  4. Step 4: Simplify right side
    170,124x = 138,754,760,004
  5. Step 5: Solve for x
    x = 138,754,760,004/170,124
  6. Step 6: Final answer
    x = 815,609.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.