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Finding the Third Proportional to 102,837 and 225,370

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Solution

The third proportional to 102,837 and 225,370 is: 493,904.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,837 : 225,370 = 225,370 : x
  2. Step 2: Convert to fraction form
    102,837/225,370 = 225,370/x
  3. Step 3: Cross multiply
    102,837x = 225,370 × 225,370
  4. Step 4: Simplify right side
    102,837x = 50,791,636,900
  5. Step 5: Solve for x
    x = 50,791,636,900/102,837
  6. Step 6: Final answer
    x = 493,904.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.