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Finding the Third Proportional to 171,297 and 263,497.50

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Solution

The third proportional to 171,297 and 263,497.50 is: 405,324.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,297 : 263,497.50 = 263,497.50 : x
  2. Step 2: Convert to fraction form
    171,297/263,497.50 = 263,497.50/x
  3. Step 3: Cross multiply
    171,297x = 263,497.50 × 263,497.50
  4. Step 4: Simplify right side
    171,297x = 69,430,932,506.25
  5. Step 5: Solve for x
    x = 69,430,932,506.25/171,297
  6. Step 6: Final answer
    x = 405,324.86

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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.