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Finding the Third Proportional to 149,856 and 318,780

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Solution

The third proportional to 149,856 and 318,780 is: 678,122.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,856 : 318,780 = 318,780 : x
  2. Step 2: Convert to fraction form
    149,856/318,780 = 318,780/x
  3. Step 3: Cross multiply
    149,856x = 318,780 × 318,780
  4. Step 4: Simplify right side
    149,856x = 101,620,688,400
  5. Step 5: Solve for x
    x = 101,620,688,400/149,856
  6. Step 6: Final answer
    x = 678,122.25

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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.