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Finding the Third Proportional to 107,366 and 228,592

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Solution

The third proportional to 107,366 and 228,592 is: 486,693.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,366 : 228,592 = 228,592 : x
  2. Step 2: Convert to fraction form
    107,366/228,592 = 228,592/x
  3. Step 3: Cross multiply
    107,366x = 228,592 × 228,592
  4. Step 4: Simplify right side
    107,366x = 52,254,302,464
  5. Step 5: Solve for x
    x = 52,254,302,464/107,366
  6. Step 6: Final answer
    x = 486,693.20

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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.