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Finding the Third Proportional to 88,415.25 and 180,915.75

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Solution

The third proportional to 88,415.25 and 180,915.75 is: 370,190.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,415.25 : 180,915.75 = 180,915.75 : x
  2. Step 2: Convert to fraction form
    88,415.25/180,915.75 = 180,915.75/x
  3. Step 3: Cross multiply
    88,415.25x = 180,915.75 × 180,915.75
  4. Step 4: Simplify right side
    88,415.25x = 32,730,508,598.06
  5. Step 5: Solve for x
    x = 32,730,508,598.06/88,415.25
  6. Step 6: Final answer
    x = 370,190.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.