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Finding the Third Proportional to 115,466 and 248,126

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Solution

The third proportional to 115,466 and 248,126 is: 533,200.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,466 : 248,126 = 248,126 : x
  2. Step 2: Convert to fraction form
    115,466/248,126 = 248,126/x
  3. Step 3: Cross multiply
    115,466x = 248,126 × 248,126
  4. Step 4: Simplify right side
    115,466x = 61,566,511,876
  5. Step 5: Solve for x
    x = 61,566,511,876/115,466
  6. Step 6: Final answer
    x = 533,200.35

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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.