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Finding the Third Proportional to 217,698.50 and 336,256.50

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Solution

The third proportional to 217,698.50 and 336,256.50 is: 519,380.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,698.50 : 336,256.50 = 336,256.50 : x
  2. Step 2: Convert to fraction form
    217,698.50/336,256.50 = 336,256.50/x
  3. Step 3: Cross multiply
    217,698.50x = 336,256.50 × 336,256.50
  4. Step 4: Simplify right side
    217,698.50x = 113,068,433,792.25
  5. Step 5: Solve for x
    x = 113,068,433,792.25/217,698.50
  6. Step 6: Final answer
    x = 519,380.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.