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Finding the Third Proportional to 108,243 and 250,587

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Solution

The third proportional to 108,243 and 250,587 is: 580,119.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,243 : 250,587 = 250,587 : x
  2. Step 2: Convert to fraction form
    108,243/250,587 = 250,587/x
  3. Step 3: Cross multiply
    108,243x = 250,587 × 250,587
  4. Step 4: Simplify right side
    108,243x = 62,793,844,569
  5. Step 5: Solve for x
    x = 62,793,844,569/108,243
  6. Step 6: Final answer
    x = 580,119.22

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.