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Finding the Third Proportional to 178,261.50 and 267,430.50

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Solution

The third proportional to 178,261.50 and 267,430.50 is: 401,203.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,261.50 : 267,430.50 = 267,430.50 : x
  2. Step 2: Convert to fraction form
    178,261.50/267,430.50 = 267,430.50/x
  3. Step 3: Cross multiply
    178,261.50x = 267,430.50 × 267,430.50
  4. Step 4: Simplify right side
    178,261.50x = 71,519,072,330.25
  5. Step 5: Solve for x
    x = 71,519,072,330.25/178,261.50
  6. Step 6: Final answer
    x = 401,203.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.