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Finding the Third Proportional to 151,386 and 325,868

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Solution

The third proportional to 151,386 and 325,868 is: 701,451.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,386 : 325,868 = 325,868 : x
  2. Step 2: Convert to fraction form
    151,386/325,868 = 325,868/x
  3. Step 3: Cross multiply
    151,386x = 325,868 × 325,868
  4. Step 4: Simplify right side
    151,386x = 106,189,953,424
  5. Step 5: Solve for x
    x = 106,189,953,424/151,386
  6. Step 6: Final answer
    x = 701,451.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.