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Finding the Third Proportional to 174,582 and 372,060

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Solution

The third proportional to 174,582 and 372,060 is: 792,914.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,582 : 372,060 = 372,060 : x
  2. Step 2: Convert to fraction form
    174,582/372,060 = 372,060/x
  3. Step 3: Cross multiply
    174,582x = 372,060 × 372,060
  4. Step 4: Simplify right side
    174,582x = 138,428,643,600
  5. Step 5: Solve for x
    x = 138,428,643,600/174,582
  6. Step 6: Final answer
    x = 792,914.75

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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.