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Finding the Third Proportional to 241,098 and 525,043

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Solution

The third proportional to 241,098 and 525,043 is: 1,143,394.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,098 : 525,043 = 525,043 : x
  2. Step 2: Convert to fraction form
    241,098/525,043 = 525,043/x
  3. Step 3: Cross multiply
    241,098x = 525,043 × 525,043
  4. Step 4: Simplify right side
    241,098x = 275,670,151,849
  5. Step 5: Solve for x
    x = 275,670,151,849/241,098
  6. Step 6: Final answer
    x = 1,143,394.60

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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.