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Finding the Third Proportional to 149,767.31 and 325,778.63

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Solution

The third proportional to 149,767.31 and 325,778.63 is: 708,644.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,767.31 : 325,778.63 = 325,778.63 : x
  2. Step 2: Convert to fraction form
    149,767.31/325,778.63 = 325,778.63/x
  3. Step 3: Cross multiply
    149,767.31x = 325,778.63 × 325,778.63
  4. Step 4: Simplify right side
    149,767.31x = 106,131,712,506.89
  5. Step 5: Solve for x
    x = 106,131,712,506.89/149,767.31
  6. Step 6: Final answer
    x = 708,644.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.