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Finding the Third Proportional to 166,946 and 254,548

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Solution

The third proportional to 166,946 and 254,548 is: 388,117.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,946 : 254,548 = 254,548 : x
  2. Step 2: Convert to fraction form
    166,946/254,548 = 254,548/x
  3. Step 3: Cross multiply
    166,946x = 254,548 × 254,548
  4. Step 4: Simplify right side
    166,946x = 64,794,684,304
  5. Step 5: Solve for x
    x = 64,794,684,304/166,946
  6. Step 6: Final answer
    x = 388,117.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.