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Finding the Third Proportional to 101,452 and 216,974

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Solution

The third proportional to 101,452 and 216,974 is: 464,039.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,452 : 216,974 = 216,974 : x
  2. Step 2: Convert to fraction form
    101,452/216,974 = 216,974/x
  3. Step 3: Cross multiply
    101,452x = 216,974 × 216,974
  4. Step 4: Simplify right side
    101,452x = 47,077,716,676
  5. Step 5: Solve for x
    x = 47,077,716,676/101,452
  6. Step 6: Final answer
    x = 464,039.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.