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Finding the Third Proportional to 104,551 and 248,417

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Solution

The third proportional to 104,551 and 248,417 is: 590,247.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,551 : 248,417 = 248,417 : x
  2. Step 2: Convert to fraction form
    104,551/248,417 = 248,417/x
  3. Step 3: Cross multiply
    104,551x = 248,417 × 248,417
  4. Step 4: Simplify right side
    104,551x = 61,711,005,889
  5. Step 5: Solve for x
    x = 61,711,005,889/104,551
  6. Step 6: Final answer
    x = 590,247.88

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.