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Finding the Third Proportional to 151,022 and 211,659

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Solution

The third proportional to 151,022 and 211,659 is: 296,642.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,022 : 211,659 = 211,659 : x
  2. Step 2: Convert to fraction form
    151,022/211,659 = 211,659/x
  3. Step 3: Cross multiply
    151,022x = 211,659 × 211,659
  4. Step 4: Simplify right side
    151,022x = 44,799,532,281
  5. Step 5: Solve for x
    x = 44,799,532,281/151,022
  6. Step 6: Final answer
    x = 296,642.42

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.