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Finding the Third Proportional to 110,862 and 228,258

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Solution

The third proportional to 110,862 and 228,258 is: 469,969.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,862 : 228,258 = 228,258 : x
  2. Step 2: Convert to fraction form
    110,862/228,258 = 228,258/x
  3. Step 3: Cross multiply
    110,862x = 228,258 × 228,258
  4. Step 4: Simplify right side
    110,862x = 52,101,714,564
  5. Step 5: Solve for x
    x = 52,101,714,564/110,862
  6. Step 6: Final answer
    x = 469,969.10

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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.