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Finding the Third Proportional to 144,632.25 and 314,043.75

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Solution

The third proportional to 144,632.25 and 314,043.75 is: 681,891.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,632.25 : 314,043.75 = 314,043.75 : x
  2. Step 2: Convert to fraction form
    144,632.25/314,043.75 = 314,043.75/x
  3. Step 3: Cross multiply
    144,632.25x = 314,043.75 × 314,043.75
  4. Step 4: Simplify right side
    144,632.25x = 98,623,476,914.06
  5. Step 5: Solve for x
    x = 98,623,476,914.06/144,632.25
  6. Step 6: Final answer
    x = 681,891.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.