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Finding the Third Proportional to 241,420.50 and 348,198.75

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Solution

The third proportional to 241,420.50 and 348,198.75 is: 502,204.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,420.50 : 348,198.75 = 348,198.75 : x
  2. Step 2: Convert to fraction form
    241,420.50/348,198.75 = 348,198.75/x
  3. Step 3: Cross multiply
    241,420.50x = 348,198.75 × 348,198.75
  4. Step 4: Simplify right side
    241,420.50x = 121,242,369,501.56
  5. Step 5: Solve for x
    x = 121,242,369,501.56/241,420.50
  6. Step 6: Final answer
    x = 502,204.12

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.