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Finding the Third Proportional to 104,440 and 220,786

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Solution

The third proportional to 104,440 and 220,786 is: 466,741.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,440 : 220,786 = 220,786 : x
  2. Step 2: Convert to fraction form
    104,440/220,786 = 220,786/x
  3. Step 3: Cross multiply
    104,440x = 220,786 × 220,786
  4. Step 4: Simplify right side
    104,440x = 48,746,457,796
  5. Step 5: Solve for x
    x = 48,746,457,796/104,440
  6. Step 6: Final answer
    x = 466,741.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.