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Finding the Third Proportional to 223,212 and 342,028.50

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Solution

The third proportional to 223,212 and 342,028.50 is: 524,091.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,212 : 342,028.50 = 342,028.50 : x
  2. Step 2: Convert to fraction form
    223,212/342,028.50 = 342,028.50/x
  3. Step 3: Cross multiply
    223,212x = 342,028.50 × 342,028.50
  4. Step 4: Simplify right side
    223,212x = 116,983,494,812.25
  5. Step 5: Solve for x
    x = 116,983,494,812.25/223,212
  6. Step 6: Final answer
    x = 524,091.42

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.