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Finding the Third Proportional to 174,693 and 372,264

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Solution

The third proportional to 174,693 and 372,264 is: 793,280.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,693 : 372,264 = 372,264 : x
  2. Step 2: Convert to fraction form
    174,693/372,264 = 372,264/x
  3. Step 3: Cross multiply
    174,693x = 372,264 × 372,264
  4. Step 4: Simplify right side
    174,693x = 138,580,485,696
  5. Step 5: Solve for x
    x = 138,580,485,696/174,693
  6. Step 6: Final answer
    x = 793,280.13

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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.