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Finding the Third Proportional to 149,961 and 325,342

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Solution

The third proportional to 149,961 and 325,342 is: 705,832.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,961 : 325,342 = 325,342 : x
  2. Step 2: Convert to fraction form
    149,961/325,342 = 325,342/x
  3. Step 3: Cross multiply
    149,961x = 325,342 × 325,342
  4. Step 4: Simplify right side
    149,961x = 105,847,416,964
  5. Step 5: Solve for x
    x = 105,847,416,964/149,961
  6. Step 6: Final answer
    x = 705,832.96

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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.