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Finding the Third Proportional to 166,458 and 235,534

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Solution

The third proportional to 166,458 and 235,534 is: 333,274.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,458 : 235,534 = 235,534 : x
  2. Step 2: Convert to fraction form
    166,458/235,534 = 235,534/x
  3. Step 3: Cross multiply
    166,458x = 235,534 × 235,534
  4. Step 4: Simplify right side
    166,458x = 55,476,265,156
  5. Step 5: Solve for x
    x = 55,476,265,156/166,458
  6. Step 6: Final answer
    x = 333,274.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.