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Finding the Third Proportional to 143,606 and 301,908

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Solution

The third proportional to 143,606 and 301,908 is: 634,711.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,606 : 301,908 = 301,908 : x
  2. Step 2: Convert to fraction form
    143,606/301,908 = 301,908/x
  3. Step 3: Cross multiply
    143,606x = 301,908 × 301,908
  4. Step 4: Simplify right side
    143,606x = 91,148,440,464
  5. Step 5: Solve for x
    x = 91,148,440,464/143,606
  6. Step 6: Final answer
    x = 634,711.92

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.