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Finding the Third Proportional to 179,148 and 267,786

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Solution

The third proportional to 179,148 and 267,786 is: 400,279.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,148 : 267,786 = 267,786 : x
  2. Step 2: Convert to fraction form
    179,148/267,786 = 267,786/x
  3. Step 3: Cross multiply
    179,148x = 267,786 × 267,786
  4. Step 4: Simplify right side
    179,148x = 71,709,341,796
  5. Step 5: Solve for x
    x = 71,709,341,796/179,148
  6. Step 6: Final answer
    x = 400,279.89

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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.