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Finding the Third Proportional to 158,944 and 347,414

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Solution

The third proportional to 158,944 and 347,414 is: 759,364.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,944 : 347,414 = 347,414 : x
  2. Step 2: Convert to fraction form
    158,944/347,414 = 347,414/x
  3. Step 3: Cross multiply
    158,944x = 347,414 × 347,414
  4. Step 4: Simplify right side
    158,944x = 120,696,487,396
  5. Step 5: Solve for x
    x = 120,696,487,396/158,944
  6. Step 6: Final answer
    x = 759,364.85

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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.