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Finding the Third Proportional to 179,731.13 and 384,703.88

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Solution

The third proportional to 179,731.13 and 384,703.88 is: 823,435.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,731.13 : 384,703.88 = 384,703.88 : x
  2. Step 2: Convert to fraction form
    179,731.13/384,703.88 = 384,703.88/x
  3. Step 3: Cross multiply
    179,731.13x = 384,703.88 × 384,703.88
  4. Step 4: Simplify right side
    179,731.13x = 147,997,071,440.02
  5. Step 5: Solve for x
    x = 147,997,071,440.02/179,731.13
  6. Step 6: Final answer
    x = 823,435.96

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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.