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Finding the Third Proportional to 149,550 and 229,867.50

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Solution

The third proportional to 149,550 and 229,867.50 is: 353,320.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,550 : 229,867.50 = 229,867.50 : x
  2. Step 2: Convert to fraction form
    149,550/229,867.50 = 229,867.50/x
  3. Step 3: Cross multiply
    149,550x = 229,867.50 × 229,867.50
  4. Step 4: Simplify right side
    149,550x = 52,839,067,556.25
  5. Step 5: Solve for x
    x = 52,839,067,556.25/149,550
  6. Step 6: Final answer
    x = 353,320.41

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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.