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Finding the Third Proportional to 151,856 and 234,632

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Solution

The third proportional to 151,856 and 234,632 is: 362,528.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,856 : 234,632 = 234,632 : x
  2. Step 2: Convert to fraction form
    151,856/234,632 = 234,632/x
  3. Step 3: Cross multiply
    151,856x = 234,632 × 234,632
  4. Step 4: Simplify right side
    151,856x = 55,052,175,424
  5. Step 5: Solve for x
    x = 55,052,175,424/151,856
  6. Step 6: Final answer
    x = 362,528.81

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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.