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Finding the Third Proportional to 140,104.69 and 210,327.89

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Solution

The third proportional to 140,104.69 and 210,327.89 is: 315,748.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,104.69 : 210,327.89 = 210,327.89 : x
  2. Step 2: Convert to fraction form
    140,104.69/210,327.89 = 210,327.89/x
  3. Step 3: Cross multiply
    140,104.69x = 210,327.89 × 210,327.89
  4. Step 4: Simplify right side
    140,104.69x = 44,237,821,574.76
  5. Step 5: Solve for x
    x = 44,237,821,574.76/140,104.69
  6. Step 6: Final answer
    x = 315,748.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.