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Finding the Third Proportional to 102,415.25 and 225,156.35

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Solution

The third proportional to 102,415.25 and 225,156.35 is: 494,998.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,415.25 : 225,156.35 = 225,156.35 : x
  2. Step 2: Convert to fraction form
    102,415.25/225,156.35 = 225,156.35/x
  3. Step 3: Cross multiply
    102,415.25x = 225,156.35 × 225,156.35
  4. Step 4: Simplify right side
    102,415.25x = 50,695,381,329.66
  5. Step 5: Solve for x
    x = 50,695,381,329.66/102,415.25
  6. Step 6: Final answer
    x = 494,998.39

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