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Finding the Third Proportional to 241,110 and 525,068

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Solution

The third proportional to 241,110 and 525,068 is: 1,143,446.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,110 : 525,068 = 525,068 : x
  2. Step 2: Convert to fraction form
    241,110/525,068 = 525,068/x
  3. Step 3: Cross multiply
    241,110x = 525,068 × 525,068
  4. Step 4: Simplify right side
    241,110x = 275,696,404,624
  5. Step 5: Solve for x
    x = 275,696,404,624/241,110
  6. Step 6: Final answer
    x = 1,143,446.58

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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.