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Finding the Third Proportional to 78,450 and 170,499

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Solution

The third proportional to 78,450 and 170,499 is: 370,553.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,450 : 170,499 = 170,499 : x
  2. Step 2: Convert to fraction form
    78,450/170,499 = 170,499/x
  3. Step 3: Cross multiply
    78,450x = 170,499 × 170,499
  4. Step 4: Simplify right side
    78,450x = 29,069,909,001
  5. Step 5: Solve for x
    x = 29,069,909,001/78,450
  6. Step 6: Final answer
    x = 370,553.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.