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Finding the Third Proportional to 103,482 and 228,773

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Solution

The third proportional to 103,482 and 228,773 is: 505,760.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,482 : 228,773 = 228,773 : x
  2. Step 2: Convert to fraction form
    103,482/228,773 = 228,773/x
  3. Step 3: Cross multiply
    103,482x = 228,773 × 228,773
  4. Step 4: Simplify right side
    103,482x = 52,337,085,529
  5. Step 5: Solve for x
    x = 52,337,085,529/103,482
  6. Step 6: Final answer
    x = 505,760.28

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.