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Finding the Third Proportional to 158,724 and 232,112

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Solution

The third proportional to 158,724 and 232,112 is: 339,431.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,724 : 232,112 = 232,112 : x
  2. Step 2: Convert to fraction form
    158,724/232,112 = 232,112/x
  3. Step 3: Cross multiply
    158,724x = 232,112 × 232,112
  4. Step 4: Simplify right side
    158,724x = 53,875,980,544
  5. Step 5: Solve for x
    x = 53,875,980,544/158,724
  6. Step 6: Final answer
    x = 339,431.85

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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.