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Finding the Third Proportional to 225,142.13 and 342,354.75

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Solution

The third proportional to 225,142.13 and 342,354.75 is: 520,590.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,142.13 : 342,354.75 = 342,354.75 : x
  2. Step 2: Convert to fraction form
    225,142.13/342,354.75 = 342,354.75/x
  3. Step 3: Cross multiply
    225,142.13x = 342,354.75 × 342,354.75
  4. Step 4: Simplify right side
    225,142.13x = 117,206,774,847.56
  5. Step 5: Solve for x
    x = 117,206,774,847.56/225,142.13
  6. Step 6: Final answer
    x = 520,590.16

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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.