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Finding the Third Proportional to 209,048 and 315,532

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Solution

The third proportional to 209,048 and 315,532 is: 476,256.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,048 : 315,532 = 315,532 : x
  2. Step 2: Convert to fraction form
    209,048/315,532 = 315,532/x
  3. Step 3: Cross multiply
    209,048x = 315,532 × 315,532
  4. Step 4: Simplify right side
    209,048x = 99,560,443,024
  5. Step 5: Solve for x
    x = 99,560,443,024/209,048
  6. Step 6: Final answer
    x = 476,256.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.