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Finding the Third Proportional to 158,989 and 336,932

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Solution

The third proportional to 158,989 and 336,932 is: 714,031.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,989 : 336,932 = 336,932 : x
  2. Step 2: Convert to fraction form
    158,989/336,932 = 336,932/x
  3. Step 3: Cross multiply
    158,989x = 336,932 × 336,932
  4. Step 4: Simplify right side
    158,989x = 113,523,172,624
  5. Step 5: Solve for x
    x = 113,523,172,624/158,989
  6. Step 6: Final answer
    x = 714,031.62

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