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Finding the Third Proportional to 114,999.19 and 268,617.38

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Solution

The third proportional to 114,999.19 and 268,617.38 is: 627,441.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,999.19 : 268,617.38 = 268,617.38 : x
  2. Step 2: Convert to fraction form
    114,999.19/268,617.38 = 268,617.38/x
  3. Step 3: Cross multiply
    114,999.19x = 268,617.38 × 268,617.38
  4. Step 4: Simplify right side
    114,999.19x = 72,155,294,151.89
  5. Step 5: Solve for x
    x = 72,155,294,151.89/114,999.19
  6. Step 6: Final answer
    x = 627,441.77

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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.