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Finding the Third Proportional to 225,150 and 342,369

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Solution

The third proportional to 225,150 and 342,369 is: 520,615.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,150 : 342,369 = 342,369 : x
  2. Step 2: Convert to fraction form
    225,150/342,369 = 342,369/x
  3. Step 3: Cross multiply
    225,150x = 342,369 × 342,369
  4. Step 4: Simplify right side
    225,150x = 117,216,532,161
  5. Step 5: Solve for x
    x = 117,216,532,161/225,150
  6. Step 6: Final answer
    x = 520,615.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.