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Finding the Third Proportional to 162,884 and 353,620

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Solution

The third proportional to 162,884 and 353,620 is: 767,706.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,884 : 353,620 = 353,620 : x
  2. Step 2: Convert to fraction form
    162,884/353,620 = 353,620/x
  3. Step 3: Cross multiply
    162,884x = 353,620 × 353,620
  4. Step 4: Simplify right side
    162,884x = 125,047,104,400
  5. Step 5: Solve for x
    x = 125,047,104,400/162,884
  6. Step 6: Final answer
    x = 767,706.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.