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Finding the Third Proportional to 179,232 and 267,888

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Solution

The third proportional to 179,232 and 267,888 is: 400,397.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,232 : 267,888 = 267,888 : x
  2. Step 2: Convert to fraction form
    179,232/267,888 = 267,888/x
  3. Step 3: Cross multiply
    179,232x = 267,888 × 267,888
  4. Step 4: Simplify right side
    179,232x = 71,763,980,544
  5. Step 5: Solve for x
    x = 71,763,980,544/179,232
  6. Step 6: Final answer
    x = 400,397.14

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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.