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Finding the Third Proportional to 225,135.70 and 342,345.23

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Solution

The third proportional to 225,135.70 and 342,345.23 is: 520,576.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,135.70 : 342,345.23 = 342,345.23 : x
  2. Step 2: Convert to fraction form
    225,135.70/342,345.23 = 342,345.23/x
  3. Step 3: Cross multiply
    225,135.70x = 342,345.23 × 342,345.23
  4. Step 4: Simplify right side
    225,135.70x = 117,200,259,499.27
  5. Step 5: Solve for x
    x = 117,200,259,499.27/225,135.70
  6. Step 6: Final answer
    x = 520,576.07

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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.