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Finding the Third Proportional to 156,381 and 340,829

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Solution

The third proportional to 156,381 and 340,829 is: 742,829.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,381 : 340,829 = 340,829 : x
  2. Step 2: Convert to fraction form
    156,381/340,829 = 340,829/x
  3. Step 3: Cross multiply
    156,381x = 340,829 × 340,829
  4. Step 4: Simplify right side
    156,381x = 116,164,407,241
  5. Step 5: Solve for x
    x = 116,164,407,241/156,381
  6. Step 6: Final answer
    x = 742,829.42

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.