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Finding the Third Proportional to 103,924 and 228,584

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Solution

The third proportional to 103,924 and 228,584 is: 502,777.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,924 : 228,584 = 228,584 : x
  2. Step 2: Convert to fraction form
    103,924/228,584 = 228,584/x
  3. Step 3: Cross multiply
    103,924x = 228,584 × 228,584
  4. Step 4: Simplify right side
    103,924x = 52,250,645,056
  5. Step 5: Solve for x
    x = 52,250,645,056/103,924
  6. Step 6: Final answer
    x = 502,777.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.