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Finding the Third Proportional to 107,374 and 228,966

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Solution

The third proportional to 107,374 and 228,966 is: 488,250.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,374 : 228,966 = 228,966 : x
  2. Step 2: Convert to fraction form
    107,374/228,966 = 228,966/x
  3. Step 3: Cross multiply
    107,374x = 228,966 × 228,966
  4. Step 4: Simplify right side
    107,374x = 52,425,429,156
  5. Step 5: Solve for x
    x = 52,425,429,156/107,374
  6. Step 6: Final answer
    x = 488,250.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.