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Finding the Third Proportional to 241,866 and 525,141

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Solution

The third proportional to 241,866 and 525,141 is: 1,140,189.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,866 : 525,141 = 525,141 : x
  2. Step 2: Convert to fraction form
    241,866/525,141 = 525,141/x
  3. Step 3: Cross multiply
    241,866x = 525,141 × 525,141
  4. Step 4: Simplify right side
    241,866x = 275,773,069,881
  5. Step 5: Solve for x
    x = 275,773,069,881/241,866
  6. Step 6: Final answer
    x = 1,140,189.48

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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.