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Finding the Third Proportional to 143,085 and 221,358.75

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Solution

The third proportional to 143,085 and 221,358.75 is: 342,451.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,085 : 221,358.75 = 221,358.75 : x
  2. Step 2: Convert to fraction form
    143,085/221,358.75 = 221,358.75/x
  3. Step 3: Cross multiply
    143,085x = 221,358.75 × 221,358.75
  4. Step 4: Simplify right side
    143,085x = 48,999,696,201.56
  5. Step 5: Solve for x
    x = 48,999,696,201.56/143,085
  6. Step 6: Final answer
    x = 342,451.66

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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.