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Finding the Third Proportional to 106,849.50 and 228,522

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Solution

The third proportional to 106,849.50 and 228,522 is: 488,746.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,849.50 : 228,522 = 228,522 : x
  2. Step 2: Convert to fraction form
    106,849.50/228,522 = 228,522/x
  3. Step 3: Cross multiply
    106,849.50x = 228,522 × 228,522
  4. Step 4: Simplify right side
    106,849.50x = 52,222,304,484
  5. Step 5: Solve for x
    x = 52,222,304,484/106,849.50
  6. Step 6: Final answer
    x = 488,746.36

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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.