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Finding the Third Proportional to 146,136.38 and 314,028.98

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Solution

The third proportional to 146,136.38 and 314,028.98 is: 674,809.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,136.38 : 314,028.98 = 314,028.98 : x
  2. Step 2: Convert to fraction form
    146,136.38/314,028.98 = 314,028.98/x
  3. Step 3: Cross multiply
    146,136.38x = 314,028.98 × 314,028.98
  4. Step 4: Simplify right side
    146,136.38x = 98,614,203,027.59
  5. Step 5: Solve for x
    x = 98,614,203,027.59/146,136.38
  6. Step 6: Final answer
    x = 674,809.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.