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Finding the Third Proportional to 156,980 and 341,320

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Solution

The third proportional to 156,980 and 341,320 is: 742,128.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,980 : 341,320 = 341,320 : x
  2. Step 2: Convert to fraction form
    156,980/341,320 = 341,320/x
  3. Step 3: Cross multiply
    156,980x = 341,320 × 341,320
  4. Step 4: Simplify right side
    156,980x = 116,499,342,400
  5. Step 5: Solve for x
    x = 116,499,342,400/156,980
  6. Step 6: Final answer
    x = 742,128.57

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.