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Finding the Third Proportional to 156,370 and 341,414

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Solution

The third proportional to 156,370 and 341,414 is: 745,434.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,370 : 341,414 = 341,414 : x
  2. Step 2: Convert to fraction form
    156,370/341,414 = 341,414/x
  3. Step 3: Cross multiply
    156,370x = 341,414 × 341,414
  4. Step 4: Simplify right side
    156,370x = 116,563,519,396
  5. Step 5: Solve for x
    x = 116,563,519,396/156,370
  6. Step 6: Final answer
    x = 745,434.03

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Why These Related Problems?

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