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Finding the Third Proportional to 241,182 and 525,221

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Solution

The third proportional to 241,182 and 525,221 is: 1,143,771.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,182 : 525,221 = 525,221 : x
  2. Step 2: Convert to fraction form
    241,182/525,221 = 525,221/x
  3. Step 3: Cross multiply
    241,182x = 525,221 × 525,221
  4. Step 4: Simplify right side
    241,182x = 275,857,098,841
  5. Step 5: Solve for x
    x = 275,857,098,841/241,182
  6. Step 6: Final answer
    x = 1,143,771.50

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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.