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Finding the Third Proportional to 180,349.50 and 281,442

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Solution

The third proportional to 180,349.50 and 281,442 is: 439,200.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,349.50 : 281,442 = 281,442 : x
  2. Step 2: Convert to fraction form
    180,349.50/281,442 = 281,442/x
  3. Step 3: Cross multiply
    180,349.50x = 281,442 × 281,442
  4. Step 4: Simplify right side
    180,349.50x = 79,209,599,364
  5. Step 5: Solve for x
    x = 79,209,599,364/180,349.50
  6. Step 6: Final answer
    x = 439,200.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.