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Finding the Third Proportional to 132,927 and 286,724.75

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Solution

The third proportional to 132,927 and 286,724.75 is: 618,467.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,927 : 286,724.75 = 286,724.75 : x
  2. Step 2: Convert to fraction form
    132,927/286,724.75 = 286,724.75/x
  3. Step 3: Cross multiply
    132,927x = 286,724.75 × 286,724.75
  4. Step 4: Simplify right side
    132,927x = 82,211,082,262.56
  5. Step 5: Solve for x
    x = 82,211,082,262.56/132,927
  6. Step 6: Final answer
    x = 618,467.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.