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Finding the Third Proportional to 243,634.50 and 374,960.50

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Solution

The third proportional to 243,634.50 and 374,960.50 is: 577,074.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,634.50 : 374,960.50 = 374,960.50 : x
  2. Step 2: Convert to fraction form
    243,634.50/374,960.50 = 374,960.50/x
  3. Step 3: Cross multiply
    243,634.50x = 374,960.50 × 374,960.50
  4. Step 4: Simplify right side
    243,634.50x = 140,595,376,560.25
  5. Step 5: Solve for x
    x = 140,595,376,560.25/243,634.50
  6. Step 6: Final answer
    x = 577,074.99

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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.