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Finding the Third Proportional to 108,226 and 248,549

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Solution

The third proportional to 108,226 and 248,549 is: 570,811.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,226 : 248,549 = 248,549 : x
  2. Step 2: Convert to fraction form
    108,226/248,549 = 248,549/x
  3. Step 3: Cross multiply
    108,226x = 248,549 × 248,549
  4. Step 4: Simplify right side
    108,226x = 61,776,605,401
  5. Step 5: Solve for x
    x = 61,776,605,401/108,226
  6. Step 6: Final answer
    x = 570,811.13

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.