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Finding the Third Proportional to 80,599.50 and 167,740.50

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Solution

The third proportional to 80,599.50 and 167,740.50 is: 349,094.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,599.50 : 167,740.50 = 167,740.50 : x
  2. Step 2: Convert to fraction form
    80,599.50/167,740.50 = 167,740.50/x
  3. Step 3: Cross multiply
    80,599.50x = 167,740.50 × 167,740.50
  4. Step 4: Simplify right side
    80,599.50x = 28,136,875,340.25
  5. Step 5: Solve for x
    x = 28,136,875,340.25/80,599.50
  6. Step 6: Final answer
    x = 349,094.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.