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Finding the Third Proportional to 141,890.17 and 212,444.41

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Solution

The third proportional to 141,890.17 and 212,444.41 is: 318,081.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,890.17 : 212,444.41 = 212,444.41 : x
  2. Step 2: Convert to fraction form
    141,890.17/212,444.41 = 212,444.41/x
  3. Step 3: Cross multiply
    141,890.17x = 212,444.41 × 212,444.41
  4. Step 4: Simplify right side
    141,890.17x = 45,132,627,821.57
  5. Step 5: Solve for x
    x = 45,132,627,821.57/141,890.17
  6. Step 6: Final answer
    x = 318,081.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.