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Finding the Third Proportional to 241,028.25 and 460,186.50

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Solution

The third proportional to 241,028.25 and 460,186.50 is: 878,617.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,028.25 : 460,186.50 = 460,186.50 : x
  2. Step 2: Convert to fraction form
    241,028.25/460,186.50 = 460,186.50/x
  3. Step 3: Cross multiply
    241,028.25x = 460,186.50 × 460,186.50
  4. Step 4: Simplify right side
    241,028.25x = 211,771,614,782.25
  5. Step 5: Solve for x
    x = 211,771,614,782.25/241,028.25
  6. Step 6: Final answer
    x = 878,617.40

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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.