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Finding the Third Proportional to 194,718.50 and 418,522

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Solution

The third proportional to 194,718.50 and 418,522 is: 899,558.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,718.50 : 418,522 = 418,522 : x
  2. Step 2: Convert to fraction form
    194,718.50/418,522 = 418,522/x
  3. Step 3: Cross multiply
    194,718.50x = 418,522 × 418,522
  4. Step 4: Simplify right side
    194,718.50x = 175,160,664,484
  5. Step 5: Solve for x
    x = 175,160,664,484/194,718.50
  6. Step 6: Final answer
    x = 899,558.41

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.