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Finding the Third Proportional to 155,652.75 and 233,480.81

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Solution

The third proportional to 155,652.75 and 233,480.81 is: 350,223.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,652.75 : 233,480.81 = 233,480.81 : x
  2. Step 2: Convert to fraction form
    155,652.75/233,480.81 = 233,480.81/x
  3. Step 3: Cross multiply
    155,652.75x = 233,480.81 × 233,480.81
  4. Step 4: Simplify right side
    155,652.75x = 54,513,289,805.66
  5. Step 5: Solve for x
    x = 54,513,289,805.66/155,652.75
  6. Step 6: Final answer
    x = 350,223.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.