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Finding the Third Proportional to 150,264 and 232,550

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Solution

The third proportional to 150,264 and 232,550 is: 359,896.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,264 : 232,550 = 232,550 : x
  2. Step 2: Convert to fraction form
    150,264/232,550 = 232,550/x
  3. Step 3: Cross multiply
    150,264x = 232,550 × 232,550
  4. Step 4: Simplify right side
    150,264x = 54,079,502,500
  5. Step 5: Solve for x
    x = 54,079,502,500/150,264
  6. Step 6: Final answer
    x = 359,896.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.