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Finding the Third Proportional to 79,294.50 and 171,657

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Solution

The third proportional to 79,294.50 and 171,657 is: 371,603.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,294.50 : 171,657 = 171,657 : x
  2. Step 2: Convert to fraction form
    79,294.50/171,657 = 171,657/x
  3. Step 3: Cross multiply
    79,294.50x = 171,657 × 171,657
  4. Step 4: Simplify right side
    79,294.50x = 29,466,125,649
  5. Step 5: Solve for x
    x = 29,466,125,649/79,294.50
  6. Step 6: Final answer
    x = 371,603.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.