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Finding the Third Proportional to 241,840 and 525,098

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Solution

The third proportional to 241,840 and 525,098 is: 1,140,125.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,840 : 525,098 = 525,098 : x
  2. Step 2: Convert to fraction form
    241,840/525,098 = 525,098/x
  3. Step 3: Cross multiply
    241,840x = 525,098 × 525,098
  4. Step 4: Simplify right side
    241,840x = 275,727,909,604
  5. Step 5: Solve for x
    x = 275,727,909,604/241,840
  6. Step 6: Final answer
    x = 1,140,125.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.