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Finding the Third Proportional to 150,388 and 232,494

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Solution

The third proportional to 150,388 and 232,494 is: 359,426.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,388 : 232,494 = 232,494 : x
  2. Step 2: Convert to fraction form
    150,388/232,494 = 232,494/x
  3. Step 3: Cross multiply
    150,388x = 232,494 × 232,494
  4. Step 4: Simplify right side
    150,388x = 54,053,460,036
  5. Step 5: Solve for x
    x = 54,053,460,036/150,388
  6. Step 6: Final answer
    x = 359,426.68

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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.