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Finding the Third Proportional to 181,659 and 283,525.50

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Solution

The third proportional to 181,659 and 283,525.50 is: 442,514.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,659 : 283,525.50 = 283,525.50 : x
  2. Step 2: Convert to fraction form
    181,659/283,525.50 = 283,525.50/x
  3. Step 3: Cross multiply
    181,659x = 283,525.50 × 283,525.50
  4. Step 4: Simplify right side
    181,659x = 80,386,709,150.25
  5. Step 5: Solve for x
    x = 80,386,709,150.25/181,659
  6. Step 6: Final answer
    x = 442,514.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.