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Finding the Third Proportional to 134,470.81 and 289,688.69

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Solution

The third proportional to 134,470.81 and 289,688.69 is: 624,072.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,470.81 : 289,688.69 = 289,688.69 : x
  2. Step 2: Convert to fraction form
    134,470.81/289,688.69 = 289,688.69/x
  3. Step 3: Cross multiply
    134,470.81x = 289,688.69 × 289,688.69
  4. Step 4: Simplify right side
    134,470.81x = 83,919,535,665.47
  5. Step 5: Solve for x
    x = 83,919,535,665.47/134,470.81
  6. Step 6: Final answer
    x = 624,072.50

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.