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Finding the Third Proportional to 114,096 and 235,464

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Solution

The third proportional to 114,096 and 235,464 is: 485,935.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,096 : 235,464 = 235,464 : x
  2. Step 2: Convert to fraction form
    114,096/235,464 = 235,464/x
  3. Step 3: Cross multiply
    114,096x = 235,464 × 235,464
  4. Step 4: Simplify right side
    114,096x = 55,443,295,296
  5. Step 5: Solve for x
    x = 55,443,295,296/114,096
  6. Step 6: Final answer
    x = 485,935.49

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.