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Finding the Third Proportional to 158,728.50 and 211,605.75

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Solution

The third proportional to 158,728.50 and 211,605.75 is: 282,098.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,728.50 : 211,605.75 = 211,605.75 : x
  2. Step 2: Convert to fraction form
    158,728.50/211,605.75 = 211,605.75/x
  3. Step 3: Cross multiply
    158,728.50x = 211,605.75 × 211,605.75
  4. Step 4: Simplify right side
    158,728.50x = 44,776,993,433.06
  5. Step 5: Solve for x
    x = 44,776,993,433.06/158,728.50
  6. Step 6: Final answer
    x = 282,098.01

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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.