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Finding the Third Proportional to 151,872 and 332,996

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Solution

The third proportional to 151,872 and 332,996 is: 730,130.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,872 : 332,996 = 332,996 : x
  2. Step 2: Convert to fraction form
    151,872/332,996 = 332,996/x
  3. Step 3: Cross multiply
    151,872x = 332,996 × 332,996
  4. Step 4: Simplify right side
    151,872x = 110,886,336,016
  5. Step 5: Solve for x
    x = 110,886,336,016/151,872
  6. Step 6: Final answer
    x = 730,130.22

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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.