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Finding the Third Proportional to 155,661.75 and 234,923.63

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Solution

The third proportional to 155,661.75 and 234,923.63 is: 354,545.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,661.75 : 234,923.63 = 234,923.63 : x
  2. Step 2: Convert to fraction form
    155,661.75/234,923.63 = 234,923.63/x
  3. Step 3: Cross multiply
    155,661.75x = 234,923.63 × 234,923.63
  4. Step 4: Simplify right side
    155,661.75x = 55,189,109,583.14
  5. Step 5: Solve for x
    x = 55,189,109,583.14/155,661.75
  6. Step 6: Final answer
    x = 354,545.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.