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Finding the Third Proportional to 141,506.44 and 210,331.69

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Solution

The third proportional to 141,506.44 and 210,331.69 is: 312,631.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,506.44 : 210,331.69 = 210,331.69 : x
  2. Step 2: Convert to fraction form
    141,506.44/210,331.69 = 210,331.69/x
  3. Step 3: Cross multiply
    141,506.44x = 210,331.69 × 210,331.69
  4. Step 4: Simplify right side
    141,506.44x = 44,239,418,766.60
  5. Step 5: Solve for x
    x = 44,239,418,766.60/141,506.44
  6. Step 6: Final answer
    x = 312,631.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.