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Finding the Third Proportional to 104,084 and 228,904

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Solution

The third proportional to 104,084 and 228,904 is: 503,411.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,084 : 228,904 = 228,904 : x
  2. Step 2: Convert to fraction form
    104,084/228,904 = 228,904/x
  3. Step 3: Cross multiply
    104,084x = 228,904 × 228,904
  4. Step 4: Simplify right side
    104,084x = 52,397,041,216
  5. Step 5: Solve for x
    x = 52,397,041,216/104,084
  6. Step 6: Final answer
    x = 503,411.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.