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Finding the Third Proportional to 104,613.25 and 228,788

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Solution

The third proportional to 104,613.25 and 228,788 is: 500,356.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,613.25 : 228,788 = 228,788 : x
  2. Step 2: Convert to fraction form
    104,613.25/228,788 = 228,788/x
  3. Step 3: Cross multiply
    104,613.25x = 228,788 × 228,788
  4. Step 4: Simplify right side
    104,613.25x = 52,343,948,944
  5. Step 5: Solve for x
    x = 52,343,948,944/104,613.25
  6. Step 6: Final answer
    x = 500,356.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.