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Finding the Third Proportional to 143,210 and 194,403

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Solution

The third proportional to 143,210 and 194,403 is: 263,895.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,210 : 194,403 = 194,403 : x
  2. Step 2: Convert to fraction form
    143,210/194,403 = 194,403/x
  3. Step 3: Cross multiply
    143,210x = 194,403 × 194,403
  4. Step 4: Simplify right side
    143,210x = 37,792,526,409
  5. Step 5: Solve for x
    x = 37,792,526,409/143,210
  6. Step 6: Final answer
    x = 263,895.86

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.