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Finding the Third Proportional to 152,176.50 and 219,195

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Solution

The third proportional to 152,176.50 and 219,195 is: 315,728.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,176.50 : 219,195 = 219,195 : x
  2. Step 2: Convert to fraction form
    152,176.50/219,195 = 219,195/x
  3. Step 3: Cross multiply
    152,176.50x = 219,195 × 219,195
  4. Step 4: Simplify right side
    152,176.50x = 48,046,448,025
  5. Step 5: Solve for x
    x = 48,046,448,025/152,176.50
  6. Step 6: Final answer
    x = 315,728.43

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.