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Finding the Third Proportional to 162,498 and 362,339

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Solution

The third proportional to 162,498 and 362,339 is: 807,945.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,498 : 362,339 = 362,339 : x
  2. Step 2: Convert to fraction form
    162,498/362,339 = 362,339/x
  3. Step 3: Cross multiply
    162,498x = 362,339 × 362,339
  4. Step 4: Simplify right side
    162,498x = 131,289,550,921
  5. Step 5: Solve for x
    x = 131,289,550,921/162,498
  6. Step 6: Final answer
    x = 807,945.64

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.