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Finding the Third Proportional to 151,789 and 326,539

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Solution

The third proportional to 151,789 and 326,539 is: 702,473.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,789 : 326,539 = 326,539 : x
  2. Step 2: Convert to fraction form
    151,789/326,539 = 326,539/x
  3. Step 3: Cross multiply
    151,789x = 326,539 × 326,539
  4. Step 4: Simplify right side
    151,789x = 106,627,718,521
  5. Step 5: Solve for x
    x = 106,627,718,521/151,789
  6. Step 6: Final answer
    x = 702,473.29

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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.