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Finding the Third Proportional to 102,776 and 228,908

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Solution

The third proportional to 102,776 and 228,908 is: 509,835.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,776 : 228,908 = 228,908 : x
  2. Step 2: Convert to fraction form
    102,776/228,908 = 228,908/x
  3. Step 3: Cross multiply
    102,776x = 228,908 × 228,908
  4. Step 4: Simplify right side
    102,776x = 52,398,872,464
  5. Step 5: Solve for x
    x = 52,398,872,464/102,776
  6. Step 6: Final answer
    x = 509,835.69

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.