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Finding the Third Proportional to 197,021.25 and 312,026.25

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Solution

The third proportional to 197,021.25 and 312,026.25 is: 494,161.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,021.25 : 312,026.25 = 312,026.25 : x
  2. Step 2: Convert to fraction form
    197,021.25/312,026.25 = 312,026.25/x
  3. Step 3: Cross multiply
    197,021.25x = 312,026.25 × 312,026.25
  4. Step 4: Simplify right side
    197,021.25x = 97,360,380,689.06
  5. Step 5: Solve for x
    x = 97,360,380,689.06/197,021.25
  6. Step 6: Final answer
    x = 494,161.83

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.