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Finding the Third Proportional to 156,909 and 342,978

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Solution

The third proportional to 156,909 and 342,978 is: 749,695.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,909 : 342,978 = 342,978 : x
  2. Step 2: Convert to fraction form
    156,909/342,978 = 342,978/x
  3. Step 3: Cross multiply
    156,909x = 342,978 × 342,978
  4. Step 4: Simplify right side
    156,909x = 117,633,908,484
  5. Step 5: Solve for x
    x = 117,633,908,484/156,909
  6. Step 6: Final answer
    x = 749,695.10

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.