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Finding the Third Proportional to 150,295.50 and 328,293

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Solution

The third proportional to 150,295.50 and 328,293 is: 717,095.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,295.50 : 328,293 = 328,293 : x
  2. Step 2: Convert to fraction form
    150,295.50/328,293 = 328,293/x
  3. Step 3: Cross multiply
    150,295.50x = 328,293 × 328,293
  4. Step 4: Simplify right side
    150,295.50x = 107,776,293,849
  5. Step 5: Solve for x
    x = 107,776,293,849/150,295.50
  6. Step 6: Final answer
    x = 717,095.95

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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.