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Finding the Third Proportional to 107,210 and 228,657

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Solution

The third proportional to 107,210 and 228,657 is: 487,678.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,210 : 228,657 = 228,657 : x
  2. Step 2: Convert to fraction form
    107,210/228,657 = 228,657/x
  3. Step 3: Cross multiply
    107,210x = 228,657 × 228,657
  4. Step 4: Simplify right side
    107,210x = 52,284,023,649
  5. Step 5: Solve for x
    x = 52,284,023,649/107,210
  6. Step 6: Final answer
    x = 487,678.61

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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.