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Finding the Third Proportional to 241,053.75 and 460,235.25

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Solution

The third proportional to 241,053.75 and 460,235.25 is: 878,710.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,053.75 : 460,235.25 = 460,235.25 : x
  2. Step 2: Convert to fraction form
    241,053.75/460,235.25 = 460,235.25/x
  3. Step 3: Cross multiply
    241,053.75x = 460,235.25 × 460,235.25
  4. Step 4: Simplify right side
    241,053.75x = 211,816,485,342.56
  5. Step 5: Solve for x
    x = 211,816,485,342.56/241,053.75
  6. Step 6: Final answer
    x = 878,710.60

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.