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Finding the Third Proportional to 146,036.81 and 313,887.75

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Solution

The third proportional to 146,036.81 and 313,887.75 is: 674,662.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,036.81 : 313,887.75 = 313,887.75 : x
  2. Step 2: Convert to fraction form
    146,036.81/313,887.75 = 313,887.75/x
  3. Step 3: Cross multiply
    146,036.81x = 313,887.75 × 313,887.75
  4. Step 4: Simplify right side
    146,036.81x = 98,525,519,600.06
  5. Step 5: Solve for x
    x = 98,525,519,600.06/146,036.81
  6. Step 6: Final answer
    x = 674,662.22

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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.