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Finding the Third Proportional to 156,953 and 348,777

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Solution

The third proportional to 156,953 and 348,777 is: 775,043.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,953 : 348,777 = 348,777 : x
  2. Step 2: Convert to fraction form
    156,953/348,777 = 348,777/x
  3. Step 3: Cross multiply
    156,953x = 348,777 × 348,777
  4. Step 4: Simplify right side
    156,953x = 121,645,395,729
  5. Step 5: Solve for x
    x = 121,645,395,729/156,953
  6. Step 6: Final answer
    x = 775,043.46

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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.