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Finding the Third Proportional to 146,144.25 and 314,044.25

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Solution

The third proportional to 146,144.25 and 314,044.25 is: 674,838.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,144.25 : 314,044.25 = 314,044.25 : x
  2. Step 2: Convert to fraction form
    146,144.25/314,044.25 = 314,044.25/x
  3. Step 3: Cross multiply
    146,144.25x = 314,044.25 × 314,044.25
  4. Step 4: Simplify right side
    146,144.25x = 98,623,790,958.06
  5. Step 5: Solve for x
    x = 98,623,790,958.06/146,144.25
  6. Step 6: Final answer
    x = 674,838.67

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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.