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Finding the Third Proportional to 162,859 and 232,458

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Solution

The third proportional to 162,859 and 232,458 is: 331,800.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,859 : 232,458 = 232,458 : x
  2. Step 2: Convert to fraction form
    162,859/232,458 = 232,458/x
  3. Step 3: Cross multiply
    162,859x = 232,458 × 232,458
  4. Step 4: Simplify right side
    162,859x = 54,036,721,764
  5. Step 5: Solve for x
    x = 54,036,721,764/162,859
  6. Step 6: Final answer
    x = 331,800.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.