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Finding the Third Proportional to 197,218.13 and 289,527.75

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Solution

The third proportional to 197,218.13 and 289,527.75 is: 425,043.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,218.13 : 289,527.75 = 289,527.75 : x
  2. Step 2: Convert to fraction form
    197,218.13/289,527.75 = 289,527.75/x
  3. Step 3: Cross multiply
    197,218.13x = 289,527.75 × 289,527.75
  4. Step 4: Simplify right side
    197,218.13x = 83,826,318,020.06
  5. Step 5: Solve for x
    x = 83,826,318,020.06/197,218.13
  6. Step 6: Final answer
    x = 425,043.68

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.