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Finding the Third Proportional to 169,946 and 373,446

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Solution

The third proportional to 169,946 and 373,446 is: 820,624.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,946 : 373,446 = 373,446 : x
  2. Step 2: Convert to fraction form
    169,946/373,446 = 373,446/x
  3. Step 3: Cross multiply
    169,946x = 373,446 × 373,446
  4. Step 4: Simplify right side
    169,946x = 139,461,914,916
  5. Step 5: Solve for x
    x = 139,461,914,916/169,946
  6. Step 6: Final answer
    x = 820,624.87

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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.