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Finding the Third Proportional to 110,046 and 228,702

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Solution

The third proportional to 110,046 and 228,702 is: 475,297.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,046 : 228,702 = 228,702 : x
  2. Step 2: Convert to fraction form
    110,046/228,702 = 228,702/x
  3. Step 3: Cross multiply
    110,046x = 228,702 × 228,702
  4. Step 4: Simplify right side
    110,046x = 52,304,604,804
  5. Step 5: Solve for x
    x = 52,304,604,804/110,046
  6. Step 6: Final answer
    x = 475,297.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.