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Finding the Third Proportional to 158,548 and 232,134

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Solution

The third proportional to 158,548 and 232,134 is: 339,873.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,548 : 232,134 = 232,134 : x
  2. Step 2: Convert to fraction form
    158,548/232,134 = 232,134/x
  3. Step 3: Cross multiply
    158,548x = 232,134 × 232,134
  4. Step 4: Simplify right side
    158,548x = 53,886,193,956
  5. Step 5: Solve for x
    x = 53,886,193,956/158,548
  6. Step 6: Final answer
    x = 339,873.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.