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Finding the Third Proportional to 154,314 and 327,588

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Solution

The third proportional to 154,314 and 327,588 is: 695,425.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,314 : 327,588 = 327,588 : x
  2. Step 2: Convert to fraction form
    154,314/327,588 = 327,588/x
  3. Step 3: Cross multiply
    154,314x = 327,588 × 327,588
  4. Step 4: Simplify right side
    154,314x = 107,313,897,744
  5. Step 5: Solve for x
    x = 107,313,897,744/154,314
  6. Step 6: Final answer
    x = 695,425.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.