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Finding the Third Proportional to 150,010.73 and 328,042.41

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Solution

The third proportional to 150,010.73 and 328,042.41 is: 717,360.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,010.73 : 328,042.41 = 328,042.41 : x
  2. Step 2: Convert to fraction form
    150,010.73/328,042.41 = 328,042.41/x
  3. Step 3: Cross multiply
    150,010.73x = 328,042.41 × 328,042.41
  4. Step 4: Simplify right side
    150,010.73x = 107,611,820,298.29
  5. Step 5: Solve for x
    x = 107,611,820,298.29/150,010.73
  6. Step 6: Final answer
    x = 717,360.80

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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.