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Finding the Third Proportional to 174,015 and 231,376.50

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Solution

The third proportional to 174,015 and 231,376.50 is: 307,646.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,015 : 231,376.50 = 231,376.50 : x
  2. Step 2: Convert to fraction form
    174,015/231,376.50 = 231,376.50/x
  3. Step 3: Cross multiply
    174,015x = 231,376.50 × 231,376.50
  4. Step 4: Simplify right side
    174,015x = 53,535,084,752.25
  5. Step 5: Solve for x
    x = 53,535,084,752.25/174,015
  6. Step 6: Final answer
    x = 307,646.38

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.