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Finding the Third Proportional to 162,342 and 347,094

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Solution

The third proportional to 162,342 and 347,094 is: 742,101.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,342 : 347,094 = 347,094 : x
  2. Step 2: Convert to fraction form
    162,342/347,094 = 347,094/x
  3. Step 3: Cross multiply
    162,342x = 347,094 × 347,094
  4. Step 4: Simplify right side
    162,342x = 120,474,244,836
  5. Step 5: Solve for x
    x = 120,474,244,836/162,342
  6. Step 6: Final answer
    x = 742,101.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.