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Finding the Third Proportional to 107,370 and 228,600

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Solution

The third proportional to 107,370 and 228,600 is: 486,709.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,370 : 228,600 = 228,600 : x
  2. Step 2: Convert to fraction form
    107,370/228,600 = 228,600/x
  3. Step 3: Cross multiply
    107,370x = 228,600 × 228,600
  4. Step 4: Simplify right side
    107,370x = 52,257,960,000
  5. Step 5: Solve for x
    x = 52,257,960,000/107,370
  6. Step 6: Final answer
    x = 486,709.14

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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.