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Finding the Third Proportional to 241,197 and 354,568.50

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Solution

The third proportional to 241,197 and 354,568.50 is: 521,228.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,197 : 354,568.50 = 354,568.50 : x
  2. Step 2: Convert to fraction form
    241,197/354,568.50 = 354,568.50/x
  3. Step 3: Cross multiply
    241,197x = 354,568.50 × 354,568.50
  4. Step 4: Simplify right side
    241,197x = 125,718,821,192.25
  5. Step 5: Solve for x
    x = 125,718,821,192.25/241,197
  6. Step 6: Final answer
    x = 521,228.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.