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Finding the Third Proportional to 217,658 and 341,823

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Solution

The third proportional to 217,658 and 341,823 is: 536,819.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,658 : 341,823 = 341,823 : x
  2. Step 2: Convert to fraction form
    217,658/341,823 = 341,823/x
  3. Step 3: Cross multiply
    217,658x = 341,823 × 341,823
  4. Step 4: Simplify right side
    217,658x = 116,842,963,329
  5. Step 5: Solve for x
    x = 116,842,963,329/217,658
  6. Step 6: Final answer
    x = 536,819.06

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.