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Finding the Third Proportional to 146,646 and 228,735

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Solution

The third proportional to 146,646 and 228,735 is: 356,775.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,646 : 228,735 = 228,735 : x
  2. Step 2: Convert to fraction form
    146,646/228,735 = 228,735/x
  3. Step 3: Cross multiply
    146,646x = 228,735 × 228,735
  4. Step 4: Simplify right side
    146,646x = 52,319,700,225
  5. Step 5: Solve for x
    x = 52,319,700,225/146,646
  6. Step 6: Final answer
    x = 356,775.50

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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.