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Finding the Third Proportional to 143,526 and 213,649

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Solution

The third proportional to 143,526 and 213,649 is: 318,032.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,526 : 213,649 = 213,649 : x
  2. Step 2: Convert to fraction form
    143,526/213,649 = 213,649/x
  3. Step 3: Cross multiply
    143,526x = 213,649 × 213,649
  4. Step 4: Simplify right side
    143,526x = 45,645,895,201
  5. Step 5: Solve for x
    x = 45,645,895,201/143,526
  6. Step 6: Final answer
    x = 318,032.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.