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Finding the Third Proportional to 239,374.50 and 364,035.75

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Solution

The third proportional to 239,374.50 and 364,035.75 is: 553,617.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,374.50 : 364,035.75 = 364,035.75 : x
  2. Step 2: Convert to fraction form
    239,374.50/364,035.75 = 364,035.75/x
  3. Step 3: Cross multiply
    239,374.50x = 364,035.75 × 364,035.75
  4. Step 4: Simplify right side
    239,374.50x = 132,522,027,278.06
  5. Step 5: Solve for x
    x = 132,522,027,278.06/239,374.50
  6. Step 6: Final answer
    x = 553,617.98

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.