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Finding the Third Proportional to 71,359.75 and 155,433.25

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Solution

The third proportional to 71,359.75 and 155,433.25 is: 338,559.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,359.75 : 155,433.25 = 155,433.25 : x
  2. Step 2: Convert to fraction form
    71,359.75/155,433.25 = 155,433.25/x
  3. Step 3: Cross multiply
    71,359.75x = 155,433.25 × 155,433.25
  4. Step 4: Simplify right side
    71,359.75x = 24,159,495,205.56
  5. Step 5: Solve for x
    x = 24,159,495,205.56/71,359.75
  6. Step 6: Final answer
    x = 338,559.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.