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Finding the Third Proportional to 225,734 and 470,151

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Solution

The third proportional to 225,734 and 470,151 is: 979,214.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,734 : 470,151 = 470,151 : x
  2. Step 2: Convert to fraction form
    225,734/470,151 = 470,151/x
  3. Step 3: Cross multiply
    225,734x = 470,151 × 470,151
  4. Step 4: Simplify right side
    225,734x = 221,041,962,801
  5. Step 5: Solve for x
    x = 221,041,962,801/225,734
  6. Step 6: Final answer
    x = 979,214.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.