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Finding the Third Proportional to 146,294.25 and 314,412.75

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Solution

The third proportional to 146,294.25 and 314,412.75 is: 675,729.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,294.25 : 314,412.75 = 314,412.75 : x
  2. Step 2: Convert to fraction form
    146,294.25/314,412.75 = 314,412.75/x
  3. Step 3: Cross multiply
    146,294.25x = 314,412.75 × 314,412.75
  4. Step 4: Simplify right side
    146,294.25x = 98,855,377,362.56
  5. Step 5: Solve for x
    x = 98,855,377,362.56/146,294.25
  6. Step 6: Final answer
    x = 675,729.75

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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.