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Finding the Third Proportional to 151,893.56 and 332,380.13

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Solution

The third proportional to 151,893.56 and 332,380.13 is: 727,328.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,893.56 : 332,380.13 = 332,380.13 : x
  2. Step 2: Convert to fraction form
    151,893.56/332,380.13 = 332,380.13/x
  3. Step 3: Cross multiply
    151,893.56x = 332,380.13 × 332,380.13
  4. Step 4: Simplify right side
    151,893.56x = 110,476,547,495.02
  5. Step 5: Solve for x
    x = 110,476,547,495.02/151,893.56
  6. Step 6: Final answer
    x = 727,328.70

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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.