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Finding the Third Proportional to 166,835 and 258,548

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Solution

The third proportional to 166,835 and 258,548 is: 400,677.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,835 : 258,548 = 258,548 : x
  2. Step 2: Convert to fraction form
    166,835/258,548 = 258,548/x
  3. Step 3: Cross multiply
    166,835x = 258,548 × 258,548
  4. Step 4: Simplify right side
    166,835x = 66,847,068,304
  5. Step 5: Solve for x
    x = 66,847,068,304/166,835
  6. Step 6: Final answer
    x = 400,677.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.