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Finding the Third Proportional to 147,972 and 228,864

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Solution

The third proportional to 147,972 and 228,864 is: 353,977.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,972 : 228,864 = 228,864 : x
  2. Step 2: Convert to fraction form
    147,972/228,864 = 228,864/x
  3. Step 3: Cross multiply
    147,972x = 228,864 × 228,864
  4. Step 4: Simplify right side
    147,972x = 52,378,730,496
  5. Step 5: Solve for x
    x = 52,378,730,496/147,972
  6. Step 6: Final answer
    x = 353,977.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.