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Finding the Third Proportional to 210,404.50 and 295,948.75

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Solution

The third proportional to 210,404.50 and 295,948.75 is: 416,272.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,404.50 : 295,948.75 = 295,948.75 : x
  2. Step 2: Convert to fraction form
    210,404.50/295,948.75 = 295,948.75/x
  3. Step 3: Cross multiply
    210,404.50x = 295,948.75 × 295,948.75
  4. Step 4: Simplify right side
    210,404.50x = 87,585,662,626.56
  5. Step 5: Solve for x
    x = 87,585,662,626.56/210,404.50
  6. Step 6: Final answer
    x = 416,272.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.