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Finding the Third Proportional to 176,080.50 and 366,753

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Solution

The third proportional to 176,080.50 and 366,753 is: 763,899.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,080.50 : 366,753 = 366,753 : x
  2. Step 2: Convert to fraction form
    176,080.50/366,753 = 366,753/x
  3. Step 3: Cross multiply
    176,080.50x = 366,753 × 366,753
  4. Step 4: Simplify right side
    176,080.50x = 134,507,763,009
  5. Step 5: Solve for x
    x = 134,507,763,009/176,080.50
  6. Step 6: Final answer
    x = 763,899.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.