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Finding the Third Proportional to 150,652.50 and 328,215

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Solution

The third proportional to 150,652.50 and 328,215 is: 715,056.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,652.50 : 328,215 = 328,215 : x
  2. Step 2: Convert to fraction form
    150,652.50/328,215 = 328,215/x
  3. Step 3: Cross multiply
    150,652.50x = 328,215 × 328,215
  4. Step 4: Simplify right side
    150,652.50x = 107,725,086,225
  5. Step 5: Solve for x
    x = 107,725,086,225/150,652.50
  6. Step 6: Final answer
    x = 715,056.74

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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.