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Finding the Third Proportional to 156,914 and 345,499

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Solution

The third proportional to 156,914 and 345,499 is: 760,732.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,914 : 345,499 = 345,499 : x
  2. Step 2: Convert to fraction form
    156,914/345,499 = 345,499/x
  3. Step 3: Cross multiply
    156,914x = 345,499 × 345,499
  4. Step 4: Simplify right side
    156,914x = 119,369,559,001
  5. Step 5: Solve for x
    x = 119,369,559,001/156,914
  6. Step 6: Final answer
    x = 760,732.37

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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.