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Finding the Third Proportional to 131,232 and 203,590

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Solution

The third proportional to 131,232 and 203,590 is: 315,844.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,232 : 203,590 = 203,590 : x
  2. Step 2: Convert to fraction form
    131,232/203,590 = 203,590/x
  3. Step 3: Cross multiply
    131,232x = 203,590 × 203,590
  4. Step 4: Simplify right side
    131,232x = 41,448,888,100
  5. Step 5: Solve for x
    x = 41,448,888,100/131,232
  6. Step 6: Final answer
    x = 315,844.37

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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.