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Finding the Third Proportional to 241,233.50 and 354,833.50

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Solution

The third proportional to 241,233.50 and 354,833.50 is: 521,929.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,233.50 : 354,833.50 = 354,833.50 : x
  2. Step 2: Convert to fraction form
    241,233.50/354,833.50 = 354,833.50/x
  3. Step 3: Cross multiply
    241,233.50x = 354,833.50 × 354,833.50
  4. Step 4: Simplify right side
    241,233.50x = 125,906,812,722.25
  5. Step 5: Solve for x
    x = 125,906,812,722.25/241,233.50
  6. Step 6: Final answer
    x = 521,929.22

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.