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Finding the Third Proportional to 171,335 and 263,537

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Solution

The third proportional to 171,335 and 263,537 is: 405,356.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,335 : 263,537 = 263,537 : x
  2. Step 2: Convert to fraction form
    171,335/263,537 = 263,537/x
  3. Step 3: Cross multiply
    171,335x = 263,537 × 263,537
  4. Step 4: Simplify right side
    171,335x = 69,451,750,369
  5. Step 5: Solve for x
    x = 69,451,750,369/171,335
  6. Step 6: Final answer
    x = 405,356.47

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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.