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Finding the Third Proportional to 114,428.75 and 239,314.25

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Solution

The third proportional to 114,428.75 and 239,314.25 is: 500,497.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,428.75 : 239,314.25 = 239,314.25 : x
  2. Step 2: Convert to fraction form
    114,428.75/239,314.25 = 239,314.25/x
  3. Step 3: Cross multiply
    114,428.75x = 239,314.25 × 239,314.25
  4. Step 4: Simplify right side
    114,428.75x = 57,271,310,253.06
  5. Step 5: Solve for x
    x = 57,271,310,253.06/114,428.75
  6. Step 6: Final answer
    x = 500,497.56

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.