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Finding the Third Proportional to 162,324 and 354,174

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Solution

The third proportional to 162,324 and 354,174 is: 772,770.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,324 : 354,174 = 354,174 : x
  2. Step 2: Convert to fraction form
    162,324/354,174 = 354,174/x
  3. Step 3: Cross multiply
    162,324x = 354,174 × 354,174
  4. Step 4: Simplify right side
    162,324x = 125,439,222,276
  5. Step 5: Solve for x
    x = 125,439,222,276/162,324
  6. Step 6: Final answer
    x = 772,770.65

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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.