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Finding the Third Proportional to 156,911 and 235,719

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Solution

The third proportional to 156,911 and 235,719 is: 354,108.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,911 : 235,719 = 235,719 : x
  2. Step 2: Convert to fraction form
    156,911/235,719 = 235,719/x
  3. Step 3: Cross multiply
    156,911x = 235,719 × 235,719
  4. Step 4: Simplify right side
    156,911x = 55,563,446,961
  5. Step 5: Solve for x
    x = 55,563,446,961/156,911
  6. Step 6: Final answer
    x = 354,108.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.