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Finding the Third Proportional to 134,191.69 and 289,401.19

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Solution

The third proportional to 134,191.69 and 289,401.19 is: 624,129.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,191.69 : 289,401.19 = 289,401.19 : x
  2. Step 2: Convert to fraction form
    134,191.69/289,401.19 = 289,401.19/x
  3. Step 3: Cross multiply
    134,191.69x = 289,401.19 × 289,401.19
  4. Step 4: Simplify right side
    134,191.69x = 83,753,047,326.41
  5. Step 5: Solve for x
    x = 83,753,047,326.41/134,191.69
  6. Step 6: Final answer
    x = 624,129.92

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.