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Finding the Third Proportional to 169,446 and 373,470

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Solution

The third proportional to 169,446 and 373,470 is: 823,152.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,446 : 373,470 = 373,470 : x
  2. Step 2: Convert to fraction form
    169,446/373,470 = 373,470/x
  3. Step 3: Cross multiply
    169,446x = 373,470 × 373,470
  4. Step 4: Simplify right side
    169,446x = 139,479,840,900
  5. Step 5: Solve for x
    x = 139,479,840,900/169,446
  6. Step 6: Final answer
    x = 823,152.16

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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.