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Finding the Third Proportional to 169,826.63 and 347,026.78

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Solution

The third proportional to 169,826.63 and 347,026.78 is: 709,120.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,826.63 : 347,026.78 = 347,026.78 : x
  2. Step 2: Convert to fraction form
    169,826.63/347,026.78 = 347,026.78/x
  3. Step 3: Cross multiply
    169,826.63x = 347,026.78 × 347,026.78
  4. Step 4: Simplify right side
    169,826.63x = 120,427,586,904.74
  5. Step 5: Solve for x
    x = 120,427,586,904.74/169,826.63
  6. Step 6: Final answer
    x = 709,120.77

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.