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Finding the Third Proportional to 149,562 and 316,008

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Solution

The third proportional to 149,562 and 316,008 is: 667,690.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,562 : 316,008 = 316,008 : x
  2. Step 2: Convert to fraction form
    149,562/316,008 = 316,008/x
  3. Step 3: Cross multiply
    149,562x = 316,008 × 316,008
  4. Step 4: Simplify right side
    149,562x = 99,861,056,064
  5. Step 5: Solve for x
    x = 99,861,056,064/149,562
  6. Step 6: Final answer
    x = 667,690.03

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.