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Finding the Third Proportional to 108,302 and 162,452

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Solution

The third proportional to 108,302 and 162,452 is: 243,676.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,302 : 162,452 = 162,452 : x
  2. Step 2: Convert to fraction form
    108,302/162,452 = 162,452/x
  3. Step 3: Cross multiply
    108,302x = 162,452 × 162,452
  4. Step 4: Simplify right side
    108,302x = 26,390,652,304
  5. Step 5: Solve for x
    x = 26,390,652,304/108,302
  6. Step 6: Final answer
    x = 243,676.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.