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Finding the Third Proportional to 149,308.31 and 326,645.16

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Solution

The third proportional to 149,308.31 and 326,645.16 is: 714,608.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,308.31 : 326,645.16 = 326,645.16 : x
  2. Step 2: Convert to fraction form
    149,308.31/326,645.16 = 326,645.16/x
  3. Step 3: Cross multiply
    149,308.31x = 326,645.16 × 326,645.16
  4. Step 4: Simplify right side
    149,308.31x = 106,697,058,101.59
  5. Step 5: Solve for x
    x = 106,697,058,101.59/149,308.31
  6. Step 6: Final answer
    x = 714,608.96

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.