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Finding the Third Proportional to 106,854 and 228,534

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Solution

The third proportional to 106,854 and 228,534 is: 488,777.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,854 : 228,534 = 228,534 : x
  2. Step 2: Convert to fraction form
    106,854/228,534 = 228,534/x
  3. Step 3: Cross multiply
    106,854x = 228,534 × 228,534
  4. Step 4: Simplify right side
    106,854x = 52,227,789,156
  5. Step 5: Solve for x
    x = 52,227,789,156/106,854
  6. Step 6: Final answer
    x = 488,777.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.