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Finding the Third Proportional to 152,204.50 and 242,400.75

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Solution

The third proportional to 152,204.50 and 242,400.75 is: 386,047.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,204.50 : 242,400.75 = 242,400.75 : x
  2. Step 2: Convert to fraction form
    152,204.50/242,400.75 = 242,400.75/x
  3. Step 3: Cross multiply
    152,204.50x = 242,400.75 × 242,400.75
  4. Step 4: Simplify right side
    152,204.50x = 58,758,123,600.56
  5. Step 5: Solve for x
    x = 58,758,123,600.56/152,204.50
  6. Step 6: Final answer
    x = 386,047.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.