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Finding the Third Proportional to 156,284 and 341,972

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Solution

The third proportional to 156,284 and 341,972 is: 748,284.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,284 : 341,972 = 341,972 : x
  2. Step 2: Convert to fraction form
    156,284/341,972 = 341,972/x
  3. Step 3: Cross multiply
    156,284x = 341,972 × 341,972
  4. Step 4: Simplify right side
    156,284x = 116,944,848,784
  5. Step 5: Solve for x
    x = 116,944,848,784/156,284
  6. Step 6: Final answer
    x = 748,284.21

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Why These Related Problems?

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