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Finding the Third Proportional to 145,969.44 and 313,763.31

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Solution

The third proportional to 145,969.44 and 313,763.31 is: 674,438.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,969.44 : 313,763.31 = 313,763.31 : x
  2. Step 2: Convert to fraction form
    145,969.44/313,763.31 = 313,763.31/x
  3. Step 3: Cross multiply
    145,969.44x = 313,763.31 × 313,763.31
  4. Step 4: Simplify right side
    145,969.44x = 98,447,413,819.70
  5. Step 5: Solve for x
    x = 98,447,413,819.70/145,969.44
  6. Step 6: Final answer
    x = 674,438.55

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.