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Finding the Third Proportional to 116,254 and 251,100

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Solution

The third proportional to 116,254 and 251,100 is: 542,357.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,254 : 251,100 = 251,100 : x
  2. Step 2: Convert to fraction form
    116,254/251,100 = 251,100/x
  3. Step 3: Cross multiply
    116,254x = 251,100 × 251,100
  4. Step 4: Simplify right side
    116,254x = 63,051,210,000
  5. Step 5: Solve for x
    x = 63,051,210,000/116,254
  6. Step 6: Final answer
    x = 542,357.34

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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.