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Finding the Third Proportional to 180,024 and 387,750

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Solution

The third proportional to 180,024 and 387,750 is: 835,166.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,024 : 387,750 = 387,750 : x
  2. Step 2: Convert to fraction form
    180,024/387,750 = 387,750/x
  3. Step 3: Cross multiply
    180,024x = 387,750 × 387,750
  4. Step 4: Simplify right side
    180,024x = 150,350,062,500
  5. Step 5: Solve for x
    x = 150,350,062,500/180,024
  6. Step 6: Final answer
    x = 835,166.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.