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Finding the Third Proportional to 149,814.56 and 320,952.38

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Solution

The third proportional to 149,814.56 and 320,952.38 is: 687,586.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,814.56 : 320,952.38 = 320,952.38 : x
  2. Step 2: Convert to fraction form
    149,814.56/320,952.38 = 320,952.38/x
  3. Step 3: Cross multiply
    149,814.56x = 320,952.38 × 320,952.38
  4. Step 4: Simplify right side
    149,814.56x = 103,010,427,018.14
  5. Step 5: Solve for x
    x = 103,010,427,018.14/149,814.56
  6. Step 6: Final answer
    x = 687,586.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.