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Finding the Third Proportional to 169,254 and 361,836

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Solution

The third proportional to 169,254 and 361,836 is: 773,543.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,254 : 361,836 = 361,836 : x
  2. Step 2: Convert to fraction form
    169,254/361,836 = 361,836/x
  3. Step 3: Cross multiply
    169,254x = 361,836 × 361,836
  4. Step 4: Simplify right side
    169,254x = 130,925,290,896
  5. Step 5: Solve for x
    x = 130,925,290,896/169,254
  6. Step 6: Final answer
    x = 773,543.26

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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.