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Finding the Third Proportional to 305,167.50 and 451,531.13

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Solution

The third proportional to 305,167.50 and 451,531.13 is: 668,093.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,167.50 : 451,531.13 = 451,531.13 : x
  2. Step 2: Convert to fraction form
    305,167.50/451,531.13 = 451,531.13/x
  3. Step 3: Cross multiply
    305,167.50x = 451,531.13 × 451,531.13
  4. Step 4: Simplify right side
    305,167.50x = 203,880,356,843.77
  5. Step 5: Solve for x
    x = 203,880,356,843.77/305,167.50
  6. Step 6: Final answer
    x = 668,093.28

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.