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Finding the Third Proportional to 106,065 and 228,735

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Solution

The third proportional to 106,065 and 228,735 is: 493,279.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,065 : 228,735 = 228,735 : x
  2. Step 2: Convert to fraction form
    106,065/228,735 = 228,735/x
  3. Step 3: Cross multiply
    106,065x = 228,735 × 228,735
  4. Step 4: Simplify right side
    106,065x = 52,319,700,225
  5. Step 5: Solve for x
    x = 52,319,700,225/106,065
  6. Step 6: Final answer
    x = 493,279.59

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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.