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Finding the Third Proportional to 150,612 and 242,151.75

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Solution

The third proportional to 150,612 and 242,151.75 is: 389,328.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,612 : 242,151.75 = 242,151.75 : x
  2. Step 2: Convert to fraction form
    150,612/242,151.75 = 242,151.75/x
  3. Step 3: Cross multiply
    150,612x = 242,151.75 × 242,151.75
  4. Step 4: Simplify right side
    150,612x = 58,637,470,028.06
  5. Step 5: Solve for x
    x = 58,637,470,028.06/150,612
  6. Step 6: Final answer
    x = 389,328.01

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.