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Finding the Third Proportional to 115,441 and 253,575

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Solution

The third proportional to 115,441 and 253,575 is: 556,996.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,441 : 253,575 = 253,575 : x
  2. Step 2: Convert to fraction form
    115,441/253,575 = 253,575/x
  3. Step 3: Cross multiply
    115,441x = 253,575 × 253,575
  4. Step 4: Simplify right side
    115,441x = 64,300,280,625
  5. Step 5: Solve for x
    x = 64,300,280,625/115,441
  6. Step 6: Final answer
    x = 556,996.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.