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Finding the Third Proportional to 149,910 and 325,938

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Solution

The third proportional to 149,910 and 325,938 is: 708,662.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,910 : 325,938 = 325,938 : x
  2. Step 2: Convert to fraction form
    149,910/325,938 = 325,938/x
  3. Step 3: Cross multiply
    149,910x = 325,938 × 325,938
  4. Step 4: Simplify right side
    149,910x = 106,235,579,844
  5. Step 5: Solve for x
    x = 106,235,579,844/149,910
  6. Step 6: Final answer
    x = 708,662.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.