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Finding the Third Proportional to 150,990.75 and 328,951.13

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Solution

The third proportional to 150,990.75 and 328,951.13 is: 716,658.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,990.75 : 328,951.13 = 328,951.13 : x
  2. Step 2: Convert to fraction form
    150,990.75/328,951.13 = 328,951.13/x
  3. Step 3: Cross multiply
    150,990.75x = 328,951.13 × 328,951.13
  4. Step 4: Simplify right side
    150,990.75x = 108,208,842,638.77
  5. Step 5: Solve for x
    x = 108,208,842,638.77/150,990.75
  6. Step 6: Final answer
    x = 716,658.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.