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Finding the Third Proportional to 181,206 and 259,987.50

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Solution

The third proportional to 181,206 and 259,987.50 is: 373,020.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,206 : 259,987.50 = 259,987.50 : x
  2. Step 2: Convert to fraction form
    181,206/259,987.50 = 259,987.50/x
  3. Step 3: Cross multiply
    181,206x = 259,987.50 × 259,987.50
  4. Step 4: Simplify right side
    181,206x = 67,593,500,156.25
  5. Step 5: Solve for x
    x = 67,593,500,156.25/181,206
  6. Step 6: Final answer
    x = 373,020.21

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.