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Finding the Third Proportional to 243,490.50 and 374,469.75

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Solution

The third proportional to 243,490.50 and 374,469.75 is: 575,905.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,490.50 : 374,469.75 = 374,469.75 : x
  2. Step 2: Convert to fraction form
    243,490.50/374,469.75 = 374,469.75/x
  3. Step 3: Cross multiply
    243,490.50x = 374,469.75 × 374,469.75
  4. Step 4: Simplify right side
    243,490.50x = 140,227,593,665.06
  5. Step 5: Solve for x
    x = 140,227,593,665.06/243,490.50
  6. Step 6: Final answer
    x = 575,905.81

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.