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Finding the Third Proportional to 131,224 and 278,852

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Solution

The third proportional to 131,224 and 278,852 is: 592,562.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,224 : 278,852 = 278,852 : x
  2. Step 2: Convert to fraction form
    131,224/278,852 = 278,852/x
  3. Step 3: Cross multiply
    131,224x = 278,852 × 278,852
  4. Step 4: Simplify right side
    131,224x = 77,758,437,904
  5. Step 5: Solve for x
    x = 77,758,437,904/131,224
  6. Step 6: Final answer
    x = 592,562.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.