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Finding the Third Proportional to 126,364 and 272,410

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Solution

The third proportional to 126,364 and 272,410 is: 587,249.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,364 : 272,410 = 272,410 : x
  2. Step 2: Convert to fraction form
    126,364/272,410 = 272,410/x
  3. Step 3: Cross multiply
    126,364x = 272,410 × 272,410
  4. Step 4: Simplify right side
    126,364x = 74,207,208,100
  5. Step 5: Solve for x
    x = 74,207,208,100/126,364
  6. Step 6: Final answer
    x = 587,249.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.