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Finding the Third Proportional to 149,850 and 318,773.25

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Solution

The third proportional to 149,850 and 318,773.25 is: 678,120.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,850 : 318,773.25 = 318,773.25 : x
  2. Step 2: Convert to fraction form
    149,850/318,773.25 = 318,773.25/x
  3. Step 3: Cross multiply
    149,850x = 318,773.25 × 318,773.25
  4. Step 4: Simplify right side
    149,850x = 101,616,384,915.56
  5. Step 5: Solve for x
    x = 101,616,384,915.56/149,850
  6. Step 6: Final answer
    x = 678,120.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.