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Finding the Third Proportional to 152,190 and 234,225

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Solution

The third proportional to 152,190 and 234,225 is: 360,479.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,190 : 234,225 = 234,225 : x
  2. Step 2: Convert to fraction form
    152,190/234,225 = 234,225/x
  3. Step 3: Cross multiply
    152,190x = 234,225 × 234,225
  4. Step 4: Simplify right side
    152,190x = 54,861,350,625
  5. Step 5: Solve for x
    x = 54,861,350,625/152,190
  6. Step 6: Final answer
    x = 360,479.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.