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Finding the Third Proportional to 227,106 and 468,786

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Solution

The third proportional to 227,106 and 468,786 is: 967,655.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,106 : 468,786 = 468,786 : x
  2. Step 2: Convert to fraction form
    227,106/468,786 = 468,786/x
  3. Step 3: Cross multiply
    227,106x = 468,786 × 468,786
  4. Step 4: Simplify right side
    227,106x = 219,760,313,796
  5. Step 5: Solve for x
    x = 219,760,313,796/227,106
  6. Step 6: Final answer
    x = 967,655.25

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.