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Finding the Third Proportional to 107,712 and 228,384

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Solution

The third proportional to 107,712 and 228,384 is: 484,247.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,712 : 228,384 = 228,384 : x
  2. Step 2: Convert to fraction form
    107,712/228,384 = 228,384/x
  3. Step 3: Cross multiply
    107,712x = 228,384 × 228,384
  4. Step 4: Simplify right side
    107,712x = 52,159,251,456
  5. Step 5: Solve for x
    x = 52,159,251,456/107,712
  6. Step 6: Final answer
    x = 484,247.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.