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Finding the Third Proportional to 208,937.50 and 451,124

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Solution

The third proportional to 208,937.50 and 451,124 is: 974,037.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,937.50 : 451,124 = 451,124 : x
  2. Step 2: Convert to fraction form
    208,937.50/451,124 = 451,124/x
  3. Step 3: Cross multiply
    208,937.50x = 451,124 × 451,124
  4. Step 4: Simplify right side
    208,937.50x = 203,512,863,376
  5. Step 5: Solve for x
    x = 203,512,863,376/208,937.50
  6. Step 6: Final answer
    x = 974,037.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.