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Finding the Third Proportional to 156,961 and 348,793

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Solution

The third proportional to 156,961 and 348,793 is: 775,075.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,961 : 348,793 = 348,793 : x
  2. Step 2: Convert to fraction form
    156,961/348,793 = 348,793/x
  3. Step 3: Cross multiply
    156,961x = 348,793 × 348,793
  4. Step 4: Simplify right side
    156,961x = 121,656,556,849
  5. Step 5: Solve for x
    x = 121,656,556,849/156,961
  6. Step 6: Final answer
    x = 775,075.06

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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.