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Finding the Third Proportional to 162,880 and 353,612

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Solution

The third proportional to 162,880 and 353,612 is: 767,690.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,880 : 353,612 = 353,612 : x
  2. Step 2: Convert to fraction form
    162,880/353,612 = 353,612/x
  3. Step 3: Cross multiply
    162,880x = 353,612 × 353,612
  4. Step 4: Simplify right side
    162,880x = 125,041,446,544
  5. Step 5: Solve for x
    x = 125,041,446,544/162,880
  6. Step 6: Final answer
    x = 767,690.61

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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.