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Finding the Third Proportional to 146,329.88 and 314,489.25

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Solution

The third proportional to 146,329.88 and 314,489.25 is: 675,894.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,329.88 : 314,489.25 = 314,489.25 : x
  2. Step 2: Convert to fraction form
    146,329.88/314,489.25 = 314,489.25/x
  3. Step 3: Cross multiply
    146,329.88x = 314,489.25 × 314,489.25
  4. Step 4: Simplify right side
    146,329.88x = 98,903,488,365.56
  5. Step 5: Solve for x
    x = 98,903,488,365.56/146,329.88
  6. Step 6: Final answer
    x = 675,894.03

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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.