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Finding the Third Proportional to 174,942 and 252,859.50

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Solution

The third proportional to 174,942 and 252,859.50 is: 365,480.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,942 : 252,859.50 = 252,859.50 : x
  2. Step 2: Convert to fraction form
    174,942/252,859.50 = 252,859.50/x
  3. Step 3: Cross multiply
    174,942x = 252,859.50 × 252,859.50
  4. Step 4: Simplify right side
    174,942x = 63,937,926,740.25
  5. Step 5: Solve for x
    x = 63,937,926,740.25/174,942
  6. Step 6: Final answer
    x = 365,480.71

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.