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Finding the Third Proportional to 105,452.50 and 228,902

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Solution

The third proportional to 105,452.50 and 228,902 is: 496,869.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,452.50 : 228,902 = 228,902 : x
  2. Step 2: Convert to fraction form
    105,452.50/228,902 = 228,902/x
  3. Step 3: Cross multiply
    105,452.50x = 228,902 × 228,902
  4. Step 4: Simplify right side
    105,452.50x = 52,396,125,604
  5. Step 5: Solve for x
    x = 52,396,125,604/105,452.50
  6. Step 6: Final answer
    x = 496,869.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.