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Finding the Third Proportional to 169,043.63 and 356,950.13

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Solution

The third proportional to 169,043.63 and 356,950.13 is: 753,730.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,043.63 : 356,950.13 = 356,950.13 : x
  2. Step 2: Convert to fraction form
    169,043.63/356,950.13 = 356,950.13/x
  3. Step 3: Cross multiply
    169,043.63x = 356,950.13 × 356,950.13
  4. Step 4: Simplify right side
    169,043.63x = 127,413,391,737.52
  5. Step 5: Solve for x
    x = 127,413,391,737.52/169,043.63
  6. Step 6: Final answer
    x = 753,730.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.