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Finding the Third Proportional to 180,237.66 and 271,738.55

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Solution

The third proportional to 180,237.66 and 271,738.55 is: 409,691.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,237.66 : 271,738.55 = 271,738.55 : x
  2. Step 2: Convert to fraction form
    180,237.66/271,738.55 = 271,738.55/x
  3. Step 3: Cross multiply
    180,237.66x = 271,738.55 × 271,738.55
  4. Step 4: Simplify right side
    180,237.66x = 73,841,837,857.74
  5. Step 5: Solve for x
    x = 73,841,837,857.74/180,237.66
  6. Step 6: Final answer
    x = 409,691.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.