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Finding the Third Proportional to 146,664 and 228,760

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Solution

The third proportional to 146,664 and 228,760 is: 356,809.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,664 : 228,760 = 228,760 : x
  2. Step 2: Convert to fraction form
    146,664/228,760 = 228,760/x
  3. Step 3: Cross multiply
    146,664x = 228,760 × 228,760
  4. Step 4: Simplify right side
    146,664x = 52,331,137,600
  5. Step 5: Solve for x
    x = 52,331,137,600/146,664
  6. Step 6: Final answer
    x = 356,809.70

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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.