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Finding the Third Proportional to 126,370 and 272,324

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Solution

The third proportional to 126,370 and 272,324 is: 586,851.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,370 : 272,324 = 272,324 : x
  2. Step 2: Convert to fraction form
    126,370/272,324 = 272,324/x
  3. Step 3: Cross multiply
    126,370x = 272,324 × 272,324
  4. Step 4: Simplify right side
    126,370x = 74,160,360,976
  5. Step 5: Solve for x
    x = 74,160,360,976/126,370
  6. Step 6: Final answer
    x = 586,851.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.