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Finding the Third Proportional to 156,944 and 345,559

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Solution

The third proportional to 156,944 and 345,559 is: 760,851.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,944 : 345,559 = 345,559 : x
  2. Step 2: Convert to fraction form
    156,944/345,559 = 345,559/x
  3. Step 3: Cross multiply
    156,944x = 345,559 × 345,559
  4. Step 4: Simplify right side
    156,944x = 119,411,022,481
  5. Step 5: Solve for x
    x = 119,411,022,481/156,944
  6. Step 6: Final answer
    x = 760,851.15

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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.