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Finding the Third Proportional to 151,960 and 327,290

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Solution

The third proportional to 151,960 and 327,290 is: 704,914.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,960 : 327,290 = 327,290 : x
  2. Step 2: Convert to fraction form
    151,960/327,290 = 327,290/x
  3. Step 3: Cross multiply
    151,960x = 327,290 × 327,290
  4. Step 4: Simplify right side
    151,960x = 107,118,744,100
  5. Step 5: Solve for x
    x = 107,118,744,100/151,960
  6. Step 6: Final answer
    x = 704,914.08

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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.