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Finding the Third Proportional to 158,551 and 232,138

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Solution

The third proportional to 158,551 and 232,138 is: 339,878.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,551 : 232,138 = 232,138 : x
  2. Step 2: Convert to fraction form
    158,551/232,138 = 232,138/x
  3. Step 3: Cross multiply
    158,551x = 232,138 × 232,138
  4. Step 4: Simplify right side
    158,551x = 53,888,051,044
  5. Step 5: Solve for x
    x = 53,888,051,044/158,551
  6. Step 6: Final answer
    x = 339,878.34

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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.