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Finding the Third Proportional to 156,534.75 and 338,080.50

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Solution

The third proportional to 156,534.75 and 338,080.50 is: 730,179.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,534.75 : 338,080.50 = 338,080.50 : x
  2. Step 2: Convert to fraction form
    156,534.75/338,080.50 = 338,080.50/x
  3. Step 3: Cross multiply
    156,534.75x = 338,080.50 × 338,080.50
  4. Step 4: Simplify right side
    156,534.75x = 114,298,424,480.25
  5. Step 5: Solve for x
    x = 114,298,424,480.25/156,534.75
  6. Step 6: Final answer
    x = 730,179.24

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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.