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Finding the Third Proportional to 241,036.50 and 460,203

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Solution

The third proportional to 241,036.50 and 460,203 is: 878,650.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,036.50 : 460,203 = 460,203 : x
  2. Step 2: Convert to fraction form
    241,036.50/460,203 = 460,203/x
  3. Step 3: Cross multiply
    241,036.50x = 460,203 × 460,203
  4. Step 4: Simplify right side
    241,036.50x = 211,786,801,209
  5. Step 5: Solve for x
    x = 211,786,801,209/241,036.50
  6. Step 6: Final answer
    x = 878,650.33

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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.