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Finding the Third Proportional to 146,856 and 228,940

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Solution

The third proportional to 146,856 and 228,940 is: 356,904.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,856 : 228,940 = 228,940 : x
  2. Step 2: Convert to fraction form
    146,856/228,940 = 228,940/x
  3. Step 3: Cross multiply
    146,856x = 228,940 × 228,940
  4. Step 4: Simplify right side
    146,856x = 52,413,523,600
  5. Step 5: Solve for x
    x = 52,413,523,600/146,856
  6. Step 6: Final answer
    x = 356,904.20

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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.