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Finding the Third Proportional to 103,480 and 228,769

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Solution

The third proportional to 103,480 and 228,769 is: 505,752.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,480 : 228,769 = 228,769 : x
  2. Step 2: Convert to fraction form
    103,480/228,769 = 228,769/x
  3. Step 3: Cross multiply
    103,480x = 228,769 × 228,769
  4. Step 4: Simplify right side
    103,480x = 52,335,255,361
  5. Step 5: Solve for x
    x = 52,335,255,361/103,480
  6. Step 6: Final answer
    x = 505,752.37

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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.