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Finding the Third Proportional to 229,542.75 and 349,395.75

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Solution

The third proportional to 229,542.75 and 349,395.75 is: 531,828.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,542.75 : 349,395.75 = 349,395.75 : x
  2. Step 2: Convert to fraction form
    229,542.75/349,395.75 = 349,395.75/x
  3. Step 3: Cross multiply
    229,542.75x = 349,395.75 × 349,395.75
  4. Step 4: Simplify right side
    229,542.75x = 122,077,390,118.06
  5. Step 5: Solve for x
    x = 122,077,390,118.06/229,542.75
  6. Step 6: Final answer
    x = 531,828.56

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.