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Finding the Third Proportional to 267,304.50 and 353,328.50

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Solution

The third proportional to 267,304.50 and 353,328.50 is: 467,036.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,304.50 : 353,328.50 = 353,328.50 : x
  2. Step 2: Convert to fraction form
    267,304.50/353,328.50 = 353,328.50/x
  3. Step 3: Cross multiply
    267,304.50x = 353,328.50 × 353,328.50
  4. Step 4: Simplify right side
    267,304.50x = 124,841,028,912.25
  5. Step 5: Solve for x
    x = 124,841,028,912.25/267,304.50
  6. Step 6: Final answer
    x = 467,036.76

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.