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Finding the Third Proportional to 225,089.50 and 343,350.88

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Solution

The third proportional to 225,089.50 and 343,350.88 is: 523,746.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,089.50 : 343,350.88 = 343,350.88 : x
  2. Step 2: Convert to fraction form
    225,089.50/343,350.88 = 343,350.88/x
  3. Step 3: Cross multiply
    225,089.50x = 343,350.88 × 343,350.88
  4. Step 4: Simplify right side
    225,089.50x = 117,889,823,363.27
  5. Step 5: Solve for x
    x = 117,889,823,363.27/225,089.50
  6. Step 6: Final answer
    x = 523,746.44

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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.