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Finding the Third Proportional to 156,952 and 345,575

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Solution

The third proportional to 156,952 and 345,575 is: 760,882.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,952 : 345,575 = 345,575 : x
  2. Step 2: Convert to fraction form
    156,952/345,575 = 345,575/x
  3. Step 3: Cross multiply
    156,952x = 345,575 × 345,575
  4. Step 4: Simplify right side
    156,952x = 119,422,080,625
  5. Step 5: Solve for x
    x = 119,422,080,625/156,952
  6. Step 6: Final answer
    x = 760,882.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.