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Finding the Third Proportional to 114,674 and 234,442

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Solution

The third proportional to 114,674 and 234,442 is: 479,298.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,674 : 234,442 = 234,442 : x
  2. Step 2: Convert to fraction form
    114,674/234,442 = 234,442/x
  3. Step 3: Cross multiply
    114,674x = 234,442 × 234,442
  4. Step 4: Simplify right side
    114,674x = 54,963,051,364
  5. Step 5: Solve for x
    x = 54,963,051,364/114,674
  6. Step 6: Final answer
    x = 479,298.28

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.