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Finding the Third Proportional to 225,092.53 and 343,355.63

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Solution

The third proportional to 225,092.53 and 343,355.63 is: 523,753.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,092.53 : 343,355.63 = 343,355.63 : x
  2. Step 2: Convert to fraction form
    225,092.53/343,355.63 = 343,355.63/x
  3. Step 3: Cross multiply
    225,092.53x = 343,355.63 × 343,355.63
  4. Step 4: Simplify right side
    225,092.53x = 117,893,085,219.14
  5. Step 5: Solve for x
    x = 117,893,085,219.14/225,092.53
  6. Step 6: Final answer
    x = 523,753.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.