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Finding the Third Proportional to 267,898.50 and 364,826.25

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Solution

The third proportional to 267,898.50 and 364,826.25 is: 496,823.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,898.50 : 364,826.25 = 364,826.25 : x
  2. Step 2: Convert to fraction form
    267,898.50/364,826.25 = 364,826.25/x
  3. Step 3: Cross multiply
    267,898.50x = 364,826.25 × 364,826.25
  4. Step 4: Simplify right side
    267,898.50x = 133,098,192,689.06
  5. Step 5: Solve for x
    x = 133,098,192,689.06/267,898.50
  6. Step 6: Final answer
    x = 496,823.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.