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Finding the Third Proportional to 221,649 and 351,028.50

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Solution

The third proportional to 221,649 and 351,028.50 is: 555,928.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,649 : 351,028.50 = 351,028.50 : x
  2. Step 2: Convert to fraction form
    221,649/351,028.50 = 351,028.50/x
  3. Step 3: Cross multiply
    221,649x = 351,028.50 × 351,028.50
  4. Step 4: Simplify right side
    221,649x = 123,221,007,812.25
  5. Step 5: Solve for x
    x = 123,221,007,812.25/221,649
  6. Step 6: Final answer
    x = 555,928.55

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.