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Finding the Third Proportional to 146,230.50 and 314,223

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Solution

The third proportional to 146,230.50 and 314,223 is: 675,208.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,230.50 : 314,223 = 314,223 : x
  2. Step 2: Convert to fraction form
    146,230.50/314,223 = 314,223/x
  3. Step 3: Cross multiply
    146,230.50x = 314,223 × 314,223
  4. Step 4: Simplify right side
    146,230.50x = 98,736,093,729
  5. Step 5: Solve for x
    x = 98,736,093,729/146,230.50
  6. Step 6: Final answer
    x = 675,208.62

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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.