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Finding the Third Proportional to 143,609 and 301,914

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Solution

The third proportional to 143,609 and 301,914 is: 634,723.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,609 : 301,914 = 301,914 : x
  2. Step 2: Convert to fraction form
    143,609/301,914 = 301,914/x
  3. Step 3: Cross multiply
    143,609x = 301,914 × 301,914
  4. Step 4: Simplify right side
    143,609x = 91,152,063,396
  5. Step 5: Solve for x
    x = 91,152,063,396/143,609
  6. Step 6: Final answer
    x = 634,723.89

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