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Finding the Third Proportional to 106,710 and 228,972

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Solution

The third proportional to 106,710 and 228,972 is: 491,314.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,710 : 228,972 = 228,972 : x
  2. Step 2: Convert to fraction form
    106,710/228,972 = 228,972/x
  3. Step 3: Cross multiply
    106,710x = 228,972 × 228,972
  4. Step 4: Simplify right side
    106,710x = 52,428,176,784
  5. Step 5: Solve for x
    x = 52,428,176,784/106,710
  6. Step 6: Final answer
    x = 491,314.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.