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Finding the Third Proportional to 226,836 and 495,223.50

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Solution

The third proportional to 226,836 and 495,223.50 is: 1,081,161.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,836 : 495,223.50 = 495,223.50 : x
  2. Step 2: Convert to fraction form
    226,836/495,223.50 = 495,223.50/x
  3. Step 3: Cross multiply
    226,836x = 495,223.50 × 495,223.50
  4. Step 4: Simplify right side
    226,836x = 245,246,314,952.25
  5. Step 5: Solve for x
    x = 245,246,314,952.25/226,836
  6. Step 6: Final answer
    x = 1,081,161.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.