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Finding the Third Proportional to 162,008 and 355,880

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Solution

The third proportional to 162,008 and 355,880 is: 781,755.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,008 : 355,880 = 355,880 : x
  2. Step 2: Convert to fraction form
    162,008/355,880 = 355,880/x
  3. Step 3: Cross multiply
    162,008x = 355,880 × 355,880
  4. Step 4: Simplify right side
    162,008x = 126,650,574,400
  5. Step 5: Solve for x
    x = 126,650,574,400/162,008
  6. Step 6: Final answer
    x = 781,755.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.