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Finding the Third Proportional to 162,560 and 347,652

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Solution

The third proportional to 162,560 and 347,652 is: 743,491.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,560 : 347,652 = 347,652 : x
  2. Step 2: Convert to fraction form
    162,560/347,652 = 347,652/x
  3. Step 3: Cross multiply
    162,560x = 347,652 × 347,652
  4. Step 4: Simplify right side
    162,560x = 120,861,913,104
  5. Step 5: Solve for x
    x = 120,861,913,104/162,560
  6. Step 6: Final answer
    x = 743,491.10

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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.