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Finding the Third Proportional to 233,133.75 and 361,365.75

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Solution

The third proportional to 233,133.75 and 361,365.75 is: 560,129.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,133.75 : 361,365.75 = 361,365.75 : x
  2. Step 2: Convert to fraction form
    233,133.75/361,365.75 = 361,365.75/x
  3. Step 3: Cross multiply
    233,133.75x = 361,365.75 × 361,365.75
  4. Step 4: Simplify right side
    233,133.75x = 130,585,205,273.06
  5. Step 5: Solve for x
    x = 130,585,205,273.06/233,133.75
  6. Step 6: Final answer
    x = 560,129.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.