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Finding the Third Proportional to 150,553.69 and 221,671.69

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Solution

The third proportional to 150,553.69 and 221,671.69 is: 326,384.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,553.69 : 221,671.69 = 221,671.69 : x
  2. Step 2: Convert to fraction form
    150,553.69/221,671.69 = 221,671.69/x
  3. Step 3: Cross multiply
    150,553.69x = 221,671.69 × 221,671.69
  4. Step 4: Simplify right side
    150,553.69x = 49,138,337,039.10
  5. Step 5: Solve for x
    x = 49,138,337,039.10/150,553.69
  6. Step 6: Final answer
    x = 326,384.15

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.