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Finding the Third Proportional to 162,550 and 347,636

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Solution

The third proportional to 162,550 and 347,636 is: 743,468.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,550 : 347,636 = 347,636 : x
  2. Step 2: Convert to fraction form
    162,550/347,636 = 347,636/x
  3. Step 3: Cross multiply
    162,550x = 347,636 × 347,636
  4. Step 4: Simplify right side
    162,550x = 120,850,788,496
  5. Step 5: Solve for x
    x = 120,850,788,496/162,550
  6. Step 6: Final answer
    x = 743,468.40

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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.