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Finding the Third Proportional to 156,962 and 341,284

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Solution

The third proportional to 156,962 and 341,284 is: 742,057.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,962 : 341,284 = 341,284 : x
  2. Step 2: Convert to fraction form
    156,962/341,284 = 341,284/x
  3. Step 3: Cross multiply
    156,962x = 341,284 × 341,284
  4. Step 4: Simplify right side
    156,962x = 116,474,768,656
  5. Step 5: Solve for x
    x = 116,474,768,656/156,962
  6. Step 6: Final answer
    x = 742,057.11

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Why These Related Problems?

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