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Finding the Third Proportional to 145,955.25 and 313,736.25

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Solution

The third proportional to 145,955.25 and 313,736.25 is: 674,387.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,955.25 : 313,736.25 = 313,736.25 : x
  2. Step 2: Convert to fraction form
    145,955.25/313,736.25 = 313,736.25/x
  3. Step 3: Cross multiply
    145,955.25x = 313,736.25 × 313,736.25
  4. Step 4: Simplify right side
    145,955.25x = 98,430,434,564.06
  5. Step 5: Solve for x
    x = 98,430,434,564.06/145,955.25
  6. Step 6: Final answer
    x = 674,387.76

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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.