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Finding the Third Proportional to 151,942.50 and 327,429

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Solution

The third proportional to 151,942.50 and 327,429 is: 705,594.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,942.50 : 327,429 = 327,429 : x
  2. Step 2: Convert to fraction form
    151,942.50/327,429 = 327,429/x
  3. Step 3: Cross multiply
    151,942.50x = 327,429 × 327,429
  4. Step 4: Simplify right side
    151,942.50x = 107,209,750,041
  5. Step 5: Solve for x
    x = 107,209,750,041/151,942.50
  6. Step 6: Final answer
    x = 705,594.22

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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.