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Finding the Third Proportional to 176,577.75 and 270,172.13

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Solution

The third proportional to 176,577.75 and 270,172.13 is: 413,375.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,577.75 : 270,172.13 = 270,172.13 : x
  2. Step 2: Convert to fraction form
    176,577.75/270,172.13 = 270,172.13/x
  3. Step 3: Cross multiply
    176,577.75x = 270,172.13 × 270,172.13
  4. Step 4: Simplify right side
    176,577.75x = 72,992,977,127.02
  5. Step 5: Solve for x
    x = 72,992,977,127.02/176,577.75
  6. Step 6: Final answer
    x = 413,375.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.