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Finding the Third Proportional to 117,233.25 and 242,505.75

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Solution

The third proportional to 117,233.25 and 242,505.75 is: 501,641.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,233.25 : 242,505.75 = 242,505.75 : x
  2. Step 2: Convert to fraction form
    117,233.25/242,505.75 = 242,505.75/x
  3. Step 3: Cross multiply
    117,233.25x = 242,505.75 × 242,505.75
  4. Step 4: Simplify right side
    117,233.25x = 58,809,038,783.06
  5. Step 5: Solve for x
    x = 58,809,038,783.06/117,233.25
  6. Step 6: Final answer
    x = 501,641.29

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.