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Finding the Third Proportional to 267,202.50 and 399,466.50

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Solution

The third proportional to 267,202.50 and 399,466.50 is: 597,200.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,202.50 : 399,466.50 = 399,466.50 : x
  2. Step 2: Convert to fraction form
    267,202.50/399,466.50 = 399,466.50/x
  3. Step 3: Cross multiply
    267,202.50x = 399,466.50 × 399,466.50
  4. Step 4: Simplify right side
    267,202.50x = 159,573,484,622.25
  5. Step 5: Solve for x
    x = 159,573,484,622.25/267,202.50
  6. Step 6: Final answer
    x = 597,200.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.