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Finding the Third Proportional to 151,224 and 330,080

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Solution

The third proportional to 151,224 and 330,080 is: 720,472.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,224 : 330,080 = 330,080 : x
  2. Step 2: Convert to fraction form
    151,224/330,080 = 330,080/x
  3. Step 3: Cross multiply
    151,224x = 330,080 × 330,080
  4. Step 4: Simplify right side
    151,224x = 108,952,806,400
  5. Step 5: Solve for x
    x = 108,952,806,400/151,224
  6. Step 6: Final answer
    x = 720,472.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.