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Finding the Third Proportional to 126,785.25 and 197,457.75

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Solution

The third proportional to 126,785.25 and 197,457.75 is: 307,524.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,785.25 : 197,457.75 = 197,457.75 : x
  2. Step 2: Convert to fraction form
    126,785.25/197,457.75 = 197,457.75/x
  3. Step 3: Cross multiply
    126,785.25x = 197,457.75 × 197,457.75
  4. Step 4: Simplify right side
    126,785.25x = 38,989,563,035.06
  5. Step 5: Solve for x
    x = 38,989,563,035.06/126,785.25
  6. Step 6: Final answer
    x = 307,524.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.