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Finding the Third Proportional to 108,228 and 248,554

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Solution

The third proportional to 108,228 and 248,554 is: 570,823.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,228 : 248,554 = 248,554 : x
  2. Step 2: Convert to fraction form
    108,228/248,554 = 248,554/x
  3. Step 3: Cross multiply
    108,228x = 248,554 × 248,554
  4. Step 4: Simplify right side
    108,228x = 61,779,090,916
  5. Step 5: Solve for x
    x = 61,779,090,916/108,228
  6. Step 6: Final answer
    x = 570,823.55

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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.