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Finding the Third Proportional to 169,200.56 and 361,233.84

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Solution

The third proportional to 169,200.56 and 361,233.84 is: 771,214.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,200.56 : 361,233.84 = 361,233.84 : x
  2. Step 2: Convert to fraction form
    169,200.56/361,233.84 = 361,233.84/x
  3. Step 3: Cross multiply
    169,200.56x = 361,233.84 × 361,233.84
  4. Step 4: Simplify right side
    169,200.56x = 130,489,889,870.40
  5. Step 5: Solve for x
    x = 130,489,889,870.40/169,200.56
  6. Step 6: Final answer
    x = 771,214.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.