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Finding the Third Proportional to 146,682 and 228,789

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Solution

The third proportional to 146,682 and 228,789 is: 356,856.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,682 : 228,789 = 228,789 : x
  2. Step 2: Convert to fraction form
    146,682/228,789 = 228,789/x
  3. Step 3: Cross multiply
    146,682x = 228,789 × 228,789
  4. Step 4: Simplify right side
    146,682x = 52,344,406,521
  5. Step 5: Solve for x
    x = 52,344,406,521/146,682
  6. Step 6: Final answer
    x = 356,856.37

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.