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Finding the Third Proportional to 170,232 and 237,972

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Solution

The third proportional to 170,232 and 237,972 is: 332,667.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,232 : 237,972 = 237,972 : x
  2. Step 2: Convert to fraction form
    170,232/237,972 = 237,972/x
  3. Step 3: Cross multiply
    170,232x = 237,972 × 237,972
  4. Step 4: Simplify right side
    170,232x = 56,630,672,784
  5. Step 5: Solve for x
    x = 56,630,672,784/170,232
  6. Step 6: Final answer
    x = 332,667.61

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.