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Finding the Third Proportional to 126,466 and 264,623

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Solution

The third proportional to 126,466 and 264,623 is: 553,708.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,466 : 264,623 = 264,623 : x
  2. Step 2: Convert to fraction form
    126,466/264,623 = 264,623/x
  3. Step 3: Cross multiply
    126,466x = 264,623 × 264,623
  4. Step 4: Simplify right side
    126,466x = 70,025,332,129
  5. Step 5: Solve for x
    x = 70,025,332,129/126,466
  6. Step 6: Final answer
    x = 553,708.76

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.