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Finding the Third Proportional to 156,924 and 345,520

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Solution

The third proportional to 156,924 and 345,520 is: 760,776.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,924 : 345,520 = 345,520 : x
  2. Step 2: Convert to fraction form
    156,924/345,520 = 345,520/x
  3. Step 3: Cross multiply
    156,924x = 345,520 × 345,520
  4. Step 4: Simplify right side
    156,924x = 119,384,070,400
  5. Step 5: Solve for x
    x = 119,384,070,400/156,924
  6. Step 6: Final answer
    x = 760,776.37

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