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Finding the Third Proportional to 107,880 and 229,596

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Solution

The third proportional to 107,880 and 229,596 is: 488,638.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,880 : 229,596 = 229,596 : x
  2. Step 2: Convert to fraction form
    107,880/229,596 = 229,596/x
  3. Step 3: Cross multiply
    107,880x = 229,596 × 229,596
  4. Step 4: Simplify right side
    107,880x = 52,714,323,216
  5. Step 5: Solve for x
    x = 52,714,323,216/107,880
  6. Step 6: Final answer
    x = 488,638.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.