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Finding the Third Proportional to 241,100 and 525,048

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Solution

The third proportional to 241,100 and 525,048 is: 1,143,406.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,100 : 525,048 = 525,048 : x
  2. Step 2: Convert to fraction form
    241,100/525,048 = 525,048/x
  3. Step 3: Cross multiply
    241,100x = 525,048 × 525,048
  4. Step 4: Simplify right side
    241,100x = 275,675,402,304
  5. Step 5: Solve for x
    x = 275,675,402,304/241,100
  6. Step 6: Final answer
    x = 1,143,406.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.