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Finding the Third Proportional to 151,289 and 325,919

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Solution

The third proportional to 151,289 and 325,919 is: 702,121.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,289 : 325,919 = 325,919 : x
  2. Step 2: Convert to fraction form
    151,289/325,919 = 325,919/x
  3. Step 3: Cross multiply
    151,289x = 325,919 × 325,919
  4. Step 4: Simplify right side
    151,289x = 106,223,194,561
  5. Step 5: Solve for x
    x = 106,223,194,561/151,289
  6. Step 6: Final answer
    x = 702,121.07

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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.