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Finding the Third Proportional to 166,894 and 258,586

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Solution

The third proportional to 166,894 and 258,586 is: 400,653.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,894 : 258,586 = 258,586 : x
  2. Step 2: Convert to fraction form
    166,894/258,586 = 258,586/x
  3. Step 3: Cross multiply
    166,894x = 258,586 × 258,586
  4. Step 4: Simplify right side
    166,894x = 66,866,719,396
  5. Step 5: Solve for x
    x = 66,866,719,396/166,894
  6. Step 6: Final answer
    x = 400,653.82

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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.