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Finding the Third Proportional to 205,177.50 and 315,177.75

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Solution

The third proportional to 205,177.50 and 315,177.75 is: 484,151.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,177.50 : 315,177.75 = 315,177.75 : x
  2. Step 2: Convert to fraction form
    205,177.50/315,177.75 = 315,177.75/x
  3. Step 3: Cross multiply
    205,177.50x = 315,177.75 × 315,177.75
  4. Step 4: Simplify right side
    205,177.50x = 99,337,014,095.06
  5. Step 5: Solve for x
    x = 99,337,014,095.06/205,177.50
  6. Step 6: Final answer
    x = 484,151.60

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.