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Finding the Third Proportional to 174,692 and 372,262

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Solution

The third proportional to 174,692 and 372,262 is: 793,276.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,692 : 372,262 = 372,262 : x
  2. Step 2: Convert to fraction form
    174,692/372,262 = 372,262/x
  3. Step 3: Cross multiply
    174,692x = 372,262 × 372,262
  4. Step 4: Simplify right side
    174,692x = 138,578,996,644
  5. Step 5: Solve for x
    x = 138,578,996,644/174,692
  6. Step 6: Final answer
    x = 793,276.15

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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.