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Finding the Third Proportional to 106,234 and 228,829

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Solution

The third proportional to 106,234 and 228,829 is: 492,899.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,234 : 228,829 = 228,829 : x
  2. Step 2: Convert to fraction form
    106,234/228,829 = 228,829/x
  3. Step 3: Cross multiply
    106,234x = 228,829 × 228,829
  4. Step 4: Simplify right side
    106,234x = 52,362,711,241
  5. Step 5: Solve for x
    x = 52,362,711,241/106,234
  6. Step 6: Final answer
    x = 492,899.74

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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.