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Finding the Third Proportional to 241,260.75 and 354,870

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Solution

The third proportional to 241,260.75 and 354,870 is: 521,977.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,260.75 : 354,870 = 354,870 : x
  2. Step 2: Convert to fraction form
    241,260.75/354,870 = 354,870/x
  3. Step 3: Cross multiply
    241,260.75x = 354,870 × 354,870
  4. Step 4: Simplify right side
    241,260.75x = 125,932,716,900
  5. Step 5: Solve for x
    x = 125,932,716,900/241,260.75
  6. Step 6: Final answer
    x = 521,977.64

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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.