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Finding the Third Proportional to 166,735 and 258,565.75

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Solution

The third proportional to 166,735 and 258,565.75 is: 400,973.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,735 : 258,565.75 = 258,565.75 : x
  2. Step 2: Convert to fraction form
    166,735/258,565.75 = 258,565.75/x
  3. Step 3: Cross multiply
    166,735x = 258,565.75 × 258,565.75
  4. Step 4: Simplify right side
    166,735x = 66,856,247,073.06
  5. Step 5: Solve for x
    x = 66,856,247,073.06/166,735
  6. Step 6: Final answer
    x = 400,973.08

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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.