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Finding the Third Proportional to 143,524 and 205,444

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Solution

The third proportional to 143,524 and 205,444 is: 294,077.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,524 : 205,444 = 205,444 : x
  2. Step 2: Convert to fraction form
    143,524/205,444 = 205,444/x
  3. Step 3: Cross multiply
    143,524x = 205,444 × 205,444
  4. Step 4: Simplify right side
    143,524x = 42,207,237,136
  5. Step 5: Solve for x
    x = 42,207,237,136/143,524
  6. Step 6: Final answer
    x = 294,077.90

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.