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Finding the Third Proportional to 146,535 and 228,552

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Solution

The third proportional to 146,535 and 228,552 is: 356,474.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,535 : 228,552 = 228,552 : x
  2. Step 2: Convert to fraction form
    146,535/228,552 = 228,552/x
  3. Step 3: Cross multiply
    146,535x = 228,552 × 228,552
  4. Step 4: Simplify right side
    146,535x = 52,236,016,704
  5. Step 5: Solve for x
    x = 52,236,016,704/146,535
  6. Step 6: Final answer
    x = 356,474.68

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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.