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Finding the Third Proportional to 144,531 and 222,432.75

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Solution

The third proportional to 144,531 and 222,432.75 is: 342,323.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,531 : 222,432.75 = 222,432.75 : x
  2. Step 2: Convert to fraction form
    144,531/222,432.75 = 222,432.75/x
  3. Step 3: Cross multiply
    144,531x = 222,432.75 × 222,432.75
  4. Step 4: Simplify right side
    144,531x = 49,476,328,272.56
  5. Step 5: Solve for x
    x = 49,476,328,272.56/144,531
  6. Step 6: Final answer
    x = 342,323.30

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.