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Finding the Third Proportional to 151,832.84 and 332,267.69

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Solution

The third proportional to 151,832.84 and 332,267.69 is: 727,127.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,832.84 : 332,267.69 = 332,267.69 : x
  2. Step 2: Convert to fraction form
    151,832.84/332,267.69 = 332,267.69/x
  3. Step 3: Cross multiply
    151,832.84x = 332,267.69 × 332,267.69
  4. Step 4: Simplify right side
    151,832.84x = 110,401,816,156.60
  5. Step 5: Solve for x
    x = 110,401,816,156.60/151,832.84
  6. Step 6: Final answer
    x = 727,127.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.