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Finding the Third Proportional to 174,399 and 372,588

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Solution

The third proportional to 174,399 and 372,588 is: 796,001.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,399 : 372,588 = 372,588 : x
  2. Step 2: Convert to fraction form
    174,399/372,588 = 372,588/x
  3. Step 3: Cross multiply
    174,399x = 372,588 × 372,588
  4. Step 4: Simplify right side
    174,399x = 138,821,817,744
  5. Step 5: Solve for x
    x = 138,821,817,744/174,399
  6. Step 6: Final answer
    x = 796,001.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.