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Finding the Third Proportional to 107,356 and 228,584

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Solution

The third proportional to 107,356 and 228,584 is: 486,704.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,356 : 228,584 = 228,584 : x
  2. Step 2: Convert to fraction form
    107,356/228,584 = 228,584/x
  3. Step 3: Cross multiply
    107,356x = 228,584 × 228,584
  4. Step 4: Simplify right side
    107,356x = 52,250,645,056
  5. Step 5: Solve for x
    x = 52,250,645,056/107,356
  6. Step 6: Final answer
    x = 486,704.47

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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.