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Finding the Third Proportional to 131,232 and 281,118

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Solution

The third proportional to 131,232 and 281,118 is: 602,195.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,232 : 281,118 = 281,118 : x
  2. Step 2: Convert to fraction form
    131,232/281,118 = 281,118/x
  3. Step 3: Cross multiply
    131,232x = 281,118 × 281,118
  4. Step 4: Simplify right side
    131,232x = 79,027,329,924
  5. Step 5: Solve for x
    x = 79,027,329,924/131,232
  6. Step 6: Final answer
    x = 602,195.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.