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Finding the Third Proportional to 155,904 and 228,023

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Solution

The third proportional to 155,904 and 228,023 is: 333,503.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,904 : 228,023 = 228,023 : x
  2. Step 2: Convert to fraction form
    155,904/228,023 = 228,023/x
  3. Step 3: Cross multiply
    155,904x = 228,023 × 228,023
  4. Step 4: Simplify right side
    155,904x = 51,994,488,529
  5. Step 5: Solve for x
    x = 51,994,488,529/155,904
  6. Step 6: Final answer
    x = 333,503.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.