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Finding the Third Proportional to 150,768 and 232,680

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Solution

The third proportional to 150,768 and 232,680 is: 359,094.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,768 : 232,680 = 232,680 : x
  2. Step 2: Convert to fraction form
    150,768/232,680 = 232,680/x
  3. Step 3: Cross multiply
    150,768x = 232,680 × 232,680
  4. Step 4: Simplify right side
    150,768x = 54,139,982,400
  5. Step 5: Solve for x
    x = 54,139,982,400/150,768
  6. Step 6: Final answer
    x = 359,094.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.