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Finding the Third Proportional to 150,940 and 328,084

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Solution

The third proportional to 150,940 and 328,084 is: 713,125.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,940 : 328,084 = 328,084 : x
  2. Step 2: Convert to fraction form
    150,940/328,084 = 328,084/x
  3. Step 3: Cross multiply
    150,940x = 328,084 × 328,084
  4. Step 4: Simplify right side
    150,940x = 107,639,111,056
  5. Step 5: Solve for x
    x = 107,639,111,056/150,940
  6. Step 6: Final answer
    x = 713,125.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.