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Finding the Third Proportional to 180,111.75 and 282,531.75

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Solution

The third proportional to 180,111.75 and 282,531.75 is: 443,192.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,111.75 : 282,531.75 = 282,531.75 : x
  2. Step 2: Convert to fraction form
    180,111.75/282,531.75 = 282,531.75/x
  3. Step 3: Cross multiply
    180,111.75x = 282,531.75 × 282,531.75
  4. Step 4: Simplify right side
    180,111.75x = 79,824,189,758.06
  5. Step 5: Solve for x
    x = 79,824,189,758.06/180,111.75
  6. Step 6: Final answer
    x = 443,192.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.