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Finding the Third Proportional to 131,425 and 203,313

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Solution

The third proportional to 131,425 and 203,313 is: 314,522.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,425 : 203,313 = 203,313 : x
  2. Step 2: Convert to fraction form
    131,425/203,313 = 203,313/x
  3. Step 3: Cross multiply
    131,425x = 203,313 × 203,313
  4. Step 4: Simplify right side
    131,425x = 41,336,175,969
  5. Step 5: Solve for x
    x = 41,336,175,969/131,425
  6. Step 6: Final answer
    x = 314,522.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.