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Finding the Third Proportional to 146,529 and 228,541.50

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Solution

The third proportional to 146,529 and 228,541.50 is: 356,456.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,529 : 228,541.50 = 228,541.50 : x
  2. Step 2: Convert to fraction form
    146,529/228,541.50 = 228,541.50/x
  3. Step 3: Cross multiply
    146,529x = 228,541.50 × 228,541.50
  4. Step 4: Simplify right side
    146,529x = 52,231,217,222.25
  5. Step 5: Solve for x
    x = 52,231,217,222.25/146,529
  6. Step 6: Final answer
    x = 356,456.52

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Why These Related Problems?

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