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Finding the Third Proportional to 117,170.25 and 174,988.50

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Solution

The third proportional to 117,170.25 and 174,988.50 is: 261,337.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,170.25 : 174,988.50 = 174,988.50 : x
  2. Step 2: Convert to fraction form
    117,170.25/174,988.50 = 174,988.50/x
  3. Step 3: Cross multiply
    117,170.25x = 174,988.50 × 174,988.50
  4. Step 4: Simplify right side
    117,170.25x = 30,620,975,132.25
  5. Step 5: Solve for x
    x = 30,620,975,132.25/117,170.25
  6. Step 6: Final answer
    x = 261,337.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.