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Finding the Third Proportional to 166,730 and 238,251

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Solution

The third proportional to 166,730 and 238,251 is: 340,451.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,730 : 238,251 = 238,251 : x
  2. Step 2: Convert to fraction form
    166,730/238,251 = 238,251/x
  3. Step 3: Cross multiply
    166,730x = 238,251 × 238,251
  4. Step 4: Simplify right side
    166,730x = 56,763,539,001
  5. Step 5: Solve for x
    x = 56,763,539,001/166,730
  6. Step 6: Final answer
    x = 340,451.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.