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Finding the Third Proportional to 227,998.50 and 349,954.50

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Solution

The third proportional to 227,998.50 and 349,954.50 is: 537,144.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,998.50 : 349,954.50 = 349,954.50 : x
  2. Step 2: Convert to fraction form
    227,998.50/349,954.50 = 349,954.50/x
  3. Step 3: Cross multiply
    227,998.50x = 349,954.50 × 349,954.50
  4. Step 4: Simplify right side
    227,998.50x = 122,468,152,070.25
  5. Step 5: Solve for x
    x = 122,468,152,070.25/227,998.50
  6. Step 6: Final answer
    x = 537,144.55

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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.