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Finding the Third Proportional to 84,247.50 and 180,340.88

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Solution

The third proportional to 84,247.50 and 180,340.88 is: 386,039.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,247.50 : 180,340.88 = 180,340.88 : x
  2. Step 2: Convert to fraction form
    84,247.50/180,340.88 = 180,340.88/x
  3. Step 3: Cross multiply
    84,247.50x = 180,340.88 × 180,340.88
  4. Step 4: Simplify right side
    84,247.50x = 32,522,831,195.77
  5. Step 5: Solve for x
    x = 32,522,831,195.77/84,247.50
  6. Step 6: Final answer
    x = 386,039.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.