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Finding the Third Proportional to 172,303.14 and 356,899.61

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Solution

The third proportional to 172,303.14 and 356,899.61 is: 739,262.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,303.14 : 356,899.61 = 356,899.61 : x
  2. Step 2: Convert to fraction form
    172,303.14/356,899.61 = 356,899.61/x
  3. Step 3: Cross multiply
    172,303.14x = 356,899.61 × 356,899.61
  4. Step 4: Simplify right side
    172,303.14x = 127,377,328,383.75
  5. Step 5: Solve for x
    x = 127,377,328,383.75/172,303.14
  6. Step 6: Final answer
    x = 739,262.97

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.