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Finding the Third Proportional to 241,888 and 525,200

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Solution

The third proportional to 241,888 and 525,200 is: 1,140,341.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,888 : 525,200 = 525,200 : x
  2. Step 2: Convert to fraction form
    241,888/525,200 = 525,200/x
  3. Step 3: Cross multiply
    241,888x = 525,200 × 525,200
  4. Step 4: Simplify right side
    241,888x = 275,835,040,000
  5. Step 5: Solve for x
    x = 275,835,040,000/241,888
  6. Step 6: Final answer
    x = 1,140,341.98

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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.