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Finding the Third Proportional to 174,788 and 372,454

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Solution

The third proportional to 174,788 and 372,454 is: 793,658.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,788 : 372,454 = 372,454 : x
  2. Step 2: Convert to fraction form
    174,788/372,454 = 372,454/x
  3. Step 3: Cross multiply
    174,788x = 372,454 × 372,454
  4. Step 4: Simplify right side
    174,788x = 138,721,982,116
  5. Step 5: Solve for x
    x = 138,721,982,116/174,788
  6. Step 6: Final answer
    x = 793,658.50

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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.