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Finding the Third Proportional to 162,274 and 354,073

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Solution

The third proportional to 162,274 and 354,073 is: 772,567.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,274 : 354,073 = 354,073 : x
  2. Step 2: Convert to fraction form
    162,274/354,073 = 354,073/x
  3. Step 3: Cross multiply
    162,274x = 354,073 × 354,073
  4. Step 4: Simplify right side
    162,274x = 125,367,689,329
  5. Step 5: Solve for x
    x = 125,367,689,329/162,274
  6. Step 6: Final answer
    x = 772,567.94

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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.