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Finding the Third Proportional to 149,596 and 330,284

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Solution

The third proportional to 149,596 and 330,284 is: 729,214.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,596 : 330,284 = 330,284 : x
  2. Step 2: Convert to fraction form
    149,596/330,284 = 330,284/x
  3. Step 3: Cross multiply
    149,596x = 330,284 × 330,284
  4. Step 4: Simplify right side
    149,596x = 109,087,520,656
  5. Step 5: Solve for x
    x = 109,087,520,656/149,596
  6. Step 6: Final answer
    x = 729,214.15

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.