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Finding the Third Proportional to 114,912 and 248,272

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Solution

The third proportional to 114,912 and 248,272 is: 536,401.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,912 : 248,272 = 248,272 : x
  2. Step 2: Convert to fraction form
    114,912/248,272 = 248,272/x
  3. Step 3: Cross multiply
    114,912x = 248,272 × 248,272
  4. Step 4: Simplify right side
    114,912x = 61,638,985,984
  5. Step 5: Solve for x
    x = 61,638,985,984/114,912
  6. Step 6: Final answer
    x = 536,401.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.