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Finding the Third Proportional to 174,447 and 200,866.50

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Solution

The third proportional to 174,447 and 200,866.50 is: 231,287.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,447 : 200,866.50 = 200,866.50 : x
  2. Step 2: Convert to fraction form
    174,447/200,866.50 = 200,866.50/x
  3. Step 3: Cross multiply
    174,447x = 200,866.50 × 200,866.50
  4. Step 4: Simplify right side
    174,447x = 40,347,350,822.25
  5. Step 5: Solve for x
    x = 40,347,350,822.25/174,447
  6. Step 6: Final answer
    x = 231,287.16

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.