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Finding the Third Proportional to 148,085.09 and 288,789.05

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Solution

The third proportional to 148,085.09 and 288,789.05 is: 563,183.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,085.09 : 288,789.05 = 288,789.05 : x
  2. Step 2: Convert to fraction form
    148,085.09/288,789.05 = 288,789.05/x
  3. Step 3: Cross multiply
    148,085.09x = 288,789.05 × 288,789.05
  4. Step 4: Simplify right side
    148,085.09x = 83,399,113,594.97
  5. Step 5: Solve for x
    x = 83,399,113,594.97/148,085.09
  6. Step 6: Final answer
    x = 563,183.75

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.