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Finding the Third Proportional to 174,670 and 374,264

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Solution

The third proportional to 174,670 and 374,264 is: 801,932.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,670 : 374,264 = 374,264 : x
  2. Step 2: Convert to fraction form
    174,670/374,264 = 374,264/x
  3. Step 3: Cross multiply
    174,670x = 374,264 × 374,264
  4. Step 4: Simplify right side
    174,670x = 140,073,541,696
  5. Step 5: Solve for x
    x = 140,073,541,696/174,670
  6. Step 6: Final answer
    x = 801,932.45

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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.