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Finding the Third Proportional to 181,276.50 and 388,788

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Solution

The third proportional to 181,276.50 and 388,788 is: 833,842.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,276.50 : 388,788 = 388,788 : x
  2. Step 2: Convert to fraction form
    181,276.50/388,788 = 388,788/x
  3. Step 3: Cross multiply
    181,276.50x = 388,788 × 388,788
  4. Step 4: Simplify right side
    181,276.50x = 151,156,108,944
  5. Step 5: Solve for x
    x = 151,156,108,944/181,276.50
  6. Step 6: Final answer
    x = 833,842.83

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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.