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Finding the Third Proportional to 69,234 and 151,282

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Solution

The third proportional to 69,234 and 151,282 is: 330,563.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,234 : 151,282 = 151,282 : x
  2. Step 2: Convert to fraction form
    69,234/151,282 = 151,282/x
  3. Step 3: Cross multiply
    69,234x = 151,282 × 151,282
  4. Step 4: Simplify right side
    69,234x = 22,886,243,524
  5. Step 5: Solve for x
    x = 22,886,243,524/69,234
  6. Step 6: Final answer
    x = 330,563.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.