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Finding the Third Proportional to 150,173 and 266,959

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Solution

The third proportional to 150,173 and 266,959 is: 474,566.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,173 : 266,959 = 266,959 : x
  2. Step 2: Convert to fraction form
    150,173/266,959 = 266,959/x
  3. Step 3: Cross multiply
    150,173x = 266,959 × 266,959
  4. Step 4: Simplify right side
    150,173x = 71,267,107,681
  5. Step 5: Solve for x
    x = 71,267,107,681/150,173
  6. Step 6: Final answer
    x = 474,566.72

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.