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Finding the Third Proportional to 108,249 and 250,602

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Solution

The third proportional to 108,249 and 250,602 is: 580,156.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,249 : 250,602 = 250,602 : x
  2. Step 2: Convert to fraction form
    108,249/250,602 = 250,602/x
  3. Step 3: Cross multiply
    108,249x = 250,602 × 250,602
  4. Step 4: Simplify right side
    108,249x = 62,801,362,404
  5. Step 5: Solve for x
    x = 62,801,362,404/108,249
  6. Step 6: Final answer
    x = 580,156.51

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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.