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Finding the Third Proportional to 217,673.50 and 336,361

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Solution

The third proportional to 217,673.50 and 336,361 is: 519,763.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,673.50 : 336,361 = 336,361 : x
  2. Step 2: Convert to fraction form
    217,673.50/336,361 = 336,361/x
  3. Step 3: Cross multiply
    217,673.50x = 336,361 × 336,361
  4. Step 4: Simplify right side
    217,673.50x = 113,138,722,321
  5. Step 5: Solve for x
    x = 113,138,722,321/217,673.50
  6. Step 6: Final answer
    x = 519,763.42

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.