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Finding the Third Proportional to 150,248 and 232,527

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Solution

The third proportional to 150,248 and 232,527 is: 359,863.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,248 : 232,527 = 232,527 : x
  2. Step 2: Convert to fraction form
    150,248/232,527 = 232,527/x
  3. Step 3: Cross multiply
    150,248x = 232,527 × 232,527
  4. Step 4: Simplify right side
    150,248x = 54,068,805,729
  5. Step 5: Solve for x
    x = 54,068,805,729/150,248
  6. Step 6: Final answer
    x = 359,863.73

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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.