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Finding the Third Proportional to 158,985 and 336,374

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Solution

The third proportional to 158,985 and 336,374 is: 711,686.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,985 : 336,374 = 336,374 : x
  2. Step 2: Convert to fraction form
    158,985/336,374 = 336,374/x
  3. Step 3: Cross multiply
    158,985x = 336,374 × 336,374
  4. Step 4: Simplify right side
    158,985x = 113,147,467,876
  5. Step 5: Solve for x
    x = 113,147,467,876/158,985
  6. Step 6: Final answer
    x = 711,686.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.