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Finding the Third Proportional to 148,931 and 327,346

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Solution

The third proportional to 148,931 and 327,346 is: 719,496.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,931 : 327,346 = 327,346 : x
  2. Step 2: Convert to fraction form
    148,931/327,346 = 327,346/x
  3. Step 3: Cross multiply
    148,931x = 327,346 × 327,346
  4. Step 4: Simplify right side
    148,931x = 107,155,403,716
  5. Step 5: Solve for x
    x = 107,155,403,716/148,931
  6. Step 6: Final answer
    x = 719,496.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.