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Finding the Third Proportional to 149,854.50 and 313,479

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Solution

The third proportional to 149,854.50 and 313,479 is: 655,763.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,854.50 : 313,479 = 313,479 : x
  2. Step 2: Convert to fraction form
    149,854.50/313,479 = 313,479/x
  3. Step 3: Cross multiply
    149,854.50x = 313,479 × 313,479
  4. Step 4: Simplify right side
    149,854.50x = 98,269,083,441
  5. Step 5: Solve for x
    x = 98,269,083,441/149,854.50
  6. Step 6: Final answer
    x = 655,763.31

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.