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Finding the Third Proportional to 171,637 and 373,786.50

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Solution

The third proportional to 171,637 and 373,786.50 is: 814,022.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,637 : 373,786.50 = 373,786.50 : x
  2. Step 2: Convert to fraction form
    171,637/373,786.50 = 373,786.50/x
  3. Step 3: Cross multiply
    171,637x = 373,786.50 × 373,786.50
  4. Step 4: Simplify right side
    171,637x = 139,716,347,582.25
  5. Step 5: Solve for x
    x = 139,716,347,582.25/171,637
  6. Step 6: Final answer
    x = 814,022.31

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.