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Finding the Third Proportional to 108,297 and 174,480.75

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Solution

The third proportional to 108,297 and 174,480.75 is: 281,111.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,297 : 174,480.75 = 174,480.75 : x
  2. Step 2: Convert to fraction form
    108,297/174,480.75 = 174,480.75/x
  3. Step 3: Cross multiply
    108,297x = 174,480.75 × 174,480.75
  4. Step 4: Simplify right side
    108,297x = 30,443,532,120.56
  5. Step 5: Solve for x
    x = 30,443,532,120.56/108,297
  6. Step 6: Final answer
    x = 281,111.50

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.