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Finding the Third Proportional to 149,299 and 316,093

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Solution

The third proportional to 149,299 and 316,093 is: 669,226.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,299 : 316,093 = 316,093 : x
  2. Step 2: Convert to fraction form
    149,299/316,093 = 316,093/x
  3. Step 3: Cross multiply
    149,299x = 316,093 × 316,093
  4. Step 4: Simplify right side
    149,299x = 99,914,784,649
  5. Step 5: Solve for x
    x = 99,914,784,649/149,299
  6. Step 6: Final answer
    x = 669,226.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.