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Finding the Third Proportional to 69,248 and 151,306

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Solution

The third proportional to 69,248 and 151,306 is: 330,601.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,248 : 151,306 = 151,306 : x
  2. Step 2: Convert to fraction form
    69,248/151,306 = 151,306/x
  3. Step 3: Cross multiply
    69,248x = 151,306 × 151,306
  4. Step 4: Simplify right side
    69,248x = 22,893,505,636
  5. Step 5: Solve for x
    x = 22,893,505,636/69,248
  6. Step 6: Final answer
    x = 330,601.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.