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Finding the Third Proportional to 149,733 and 220,216

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Solution

The third proportional to 149,733 and 220,216 is: 323,877.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,733 : 220,216 = 220,216 : x
  2. Step 2: Convert to fraction form
    149,733/220,216 = 220,216/x
  3. Step 3: Cross multiply
    149,733x = 220,216 × 220,216
  4. Step 4: Simplify right side
    149,733x = 48,495,086,656
  5. Step 5: Solve for x
    x = 48,495,086,656/149,733
  6. Step 6: Final answer
    x = 323,877.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.