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Finding the Third Proportional to 114,998.06 and 268,614.56

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Solution

The third proportional to 114,998.06 and 268,614.56 is: 627,434.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,998.06 : 268,614.56 = 268,614.56 : x
  2. Step 2: Convert to fraction form
    114,998.06/268,614.56 = 268,614.56/x
  3. Step 3: Cross multiply
    114,998.06x = 268,614.56 × 268,614.56
  4. Step 4: Simplify right side
    114,998.06x = 72,153,783,187.07
  5. Step 5: Solve for x
    x = 72,153,783,187.07/114,998.06
  6. Step 6: Final answer
    x = 627,434.77

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.