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Finding the Third Proportional to 151,868 and 332,988

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Solution

The third proportional to 151,868 and 332,988 is: 730,114.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,868 : 332,988 = 332,988 : x
  2. Step 2: Convert to fraction form
    151,868/332,988 = 332,988/x
  3. Step 3: Cross multiply
    151,868x = 332,988 × 332,988
  4. Step 4: Simplify right side
    151,868x = 110,881,008,144
  5. Step 5: Solve for x
    x = 110,881,008,144/151,868
  6. Step 6: Final answer
    x = 730,114.36

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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.