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Finding the Third Proportional to 151,864 and 232,392

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Solution

The third proportional to 151,864 and 232,392 is: 355,621.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,864 : 232,392 = 232,392 : x
  2. Step 2: Convert to fraction form
    151,864/232,392 = 232,392/x
  3. Step 3: Cross multiply
    151,864x = 232,392 × 232,392
  4. Step 4: Simplify right side
    151,864x = 54,006,041,664
  5. Step 5: Solve for x
    x = 54,006,041,664/151,864
  6. Step 6: Final answer
    x = 355,621.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.