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Finding the Third Proportional to 106,066 and 228,737

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Solution

The third proportional to 106,066 and 228,737 is: 493,283.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,066 : 228,737 = 228,737 : x
  2. Step 2: Convert to fraction form
    106,066/228,737 = 228,737/x
  3. Step 3: Cross multiply
    106,066x = 228,737 × 228,737
  4. Step 4: Simplify right side
    106,066x = 52,320,615,169
  5. Step 5: Solve for x
    x = 52,320,615,169/106,066
  6. Step 6: Final answer
    x = 493,283.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.