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Finding the Third Proportional to 78,474.50 and 169,985

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Solution

The third proportional to 78,474.50 and 169,985 is: 368,207.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,474.50 : 169,985 = 169,985 : x
  2. Step 2: Convert to fraction form
    78,474.50/169,985 = 169,985/x
  3. Step 3: Cross multiply
    78,474.50x = 169,985 × 169,985
  4. Step 4: Simplify right side
    78,474.50x = 28,894,900,225
  5. Step 5: Solve for x
    x = 28,894,900,225/78,474.50
  6. Step 6: Final answer
    x = 368,207.51

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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.