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Finding the Third Proportional to 137,827.50 and 303,591

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Solution

The third proportional to 137,827.50 and 303,591 is: 668,716.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,827.50 : 303,591 = 303,591 : x
  2. Step 2: Convert to fraction form
    137,827.50/303,591 = 303,591/x
  3. Step 3: Cross multiply
    137,827.50x = 303,591 × 303,591
  4. Step 4: Simplify right side
    137,827.50x = 92,167,495,281
  5. Step 5: Solve for x
    x = 92,167,495,281/137,827.50
  6. Step 6: Final answer
    x = 668,716.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.