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Finding the Third Proportional to 158,598 and 231,568.88

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Solution

The third proportional to 158,598 and 231,568.88 is: 338,113.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,598 : 231,568.88 = 231,568.88 : x
  2. Step 2: Convert to fraction form
    158,598/231,568.88 = 231,568.88/x
  3. Step 3: Cross multiply
    158,598x = 231,568.88 × 231,568.88
  4. Step 4: Simplify right side
    158,598x = 53,624,143,868.77
  5. Step 5: Solve for x
    x = 53,624,143,868.77/158,598
  6. Step 6: Final answer
    x = 338,113.62

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