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Finding the Third Proportional to 180,637.88 and 281,296.13

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Solution

The third proportional to 180,637.88 and 281,296.13 is: 438,044.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,637.88 : 281,296.13 = 281,296.13 : x
  2. Step 2: Convert to fraction form
    180,637.88/281,296.13 = 281,296.13/x
  3. Step 3: Cross multiply
    180,637.88x = 281,296.13 × 281,296.13
  4. Step 4: Simplify right side
    180,637.88x = 79,127,509,940.02
  5. Step 5: Solve for x
    x = 79,127,509,940.02/180,637.88
  6. Step 6: Final answer
    x = 438,044.96

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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.