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Finding the Third Proportional to 181,983 and 395,404.50

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Solution

The third proportional to 181,983 and 395,404.50 is: 859,117.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,983 : 395,404.50 = 395,404.50 : x
  2. Step 2: Convert to fraction form
    181,983/395,404.50 = 395,404.50/x
  3. Step 3: Cross multiply
    181,983x = 395,404.50 × 395,404.50
  4. Step 4: Simplify right side
    181,983x = 156,344,718,620.25
  5. Step 5: Solve for x
    x = 156,344,718,620.25/181,983
  6. Step 6: Final answer
    x = 859,117.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.