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Finding the Third Proportional to 88,422 and 180,929

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Solution

The third proportional to 88,422 and 180,929 is: 370,216.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,422 : 180,929 = 180,929 : x
  2. Step 2: Convert to fraction form
    88,422/180,929 = 180,929/x
  3. Step 3: Cross multiply
    88,422x = 180,929 × 180,929
  4. Step 4: Simplify right side
    88,422x = 32,735,303,041
  5. Step 5: Solve for x
    x = 32,735,303,041/88,422
  6. Step 6: Final answer
    x = 370,216.72

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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.