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Finding the Third Proportional to 114,135 and 231,726

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Solution

The third proportional to 114,135 and 231,726 is: 470,468.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,135 : 231,726 = 231,726 : x
  2. Step 2: Convert to fraction form
    114,135/231,726 = 231,726/x
  3. Step 3: Cross multiply
    114,135x = 231,726 × 231,726
  4. Step 4: Simplify right side
    114,135x = 53,696,939,076
  5. Step 5: Solve for x
    x = 53,696,939,076/114,135
  6. Step 6: Final answer
    x = 470,468.65

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.