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Finding the Third Proportional to 179,731.75 and 384,705

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Solution

The third proportional to 179,731.75 and 384,705 is: 823,437.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,731.75 : 384,705 = 384,705 : x
  2. Step 2: Convert to fraction form
    179,731.75/384,705 = 384,705/x
  3. Step 3: Cross multiply
    179,731.75x = 384,705 × 384,705
  4. Step 4: Simplify right side
    179,731.75x = 147,997,937,025
  5. Step 5: Solve for x
    x = 147,997,937,025/179,731.75
  6. Step 6: Final answer
    x = 823,437.91

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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.