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Finding the Third Proportional to 114,544 and 232,304

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Solution

The third proportional to 114,544 and 232,304 is: 471,130.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,544 : 232,304 = 232,304 : x
  2. Step 2: Convert to fraction form
    114,544/232,304 = 232,304/x
  3. Step 3: Cross multiply
    114,544x = 232,304 × 232,304
  4. Step 4: Simplify right side
    114,544x = 53,965,148,416
  5. Step 5: Solve for x
    x = 53,965,148,416/114,544
  6. Step 6: Final answer
    x = 471,130.29

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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.