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Finding the Third Proportional to 165,658.50 and 220,710.75

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Solution

The third proportional to 165,658.50 and 220,710.75 is: 294,058.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,658.50 : 220,710.75 = 220,710.75 : x
  2. Step 2: Convert to fraction form
    165,658.50/220,710.75 = 220,710.75/x
  3. Step 3: Cross multiply
    165,658.50x = 220,710.75 × 220,710.75
  4. Step 4: Simplify right side
    165,658.50x = 48,713,235,165.56
  5. Step 5: Solve for x
    x = 48,713,235,165.56/165,658.50
  6. Step 6: Final answer
    x = 294,058.17

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.