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Finding the Third Proportional to 156,642 and 348,164

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Solution

The third proportional to 156,642 and 348,164 is: 773,854.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,642 : 348,164 = 348,164 : x
  2. Step 2: Convert to fraction form
    156,642/348,164 = 348,164/x
  3. Step 3: Cross multiply
    156,642x = 348,164 × 348,164
  4. Step 4: Simplify right side
    156,642x = 121,218,170,896
  5. Step 5: Solve for x
    x = 121,218,170,896/156,642
  6. Step 6: Final answer
    x = 773,854.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.