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Finding the Third Proportional to 116,133 and 253,407

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Solution

The third proportional to 116,133 and 253,407 is: 552,944.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,133 : 253,407 = 253,407 : x
  2. Step 2: Convert to fraction form
    116,133/253,407 = 253,407/x
  3. Step 3: Cross multiply
    116,133x = 253,407 × 253,407
  4. Step 4: Simplify right side
    116,133x = 64,215,107,649
  5. Step 5: Solve for x
    x = 64,215,107,649/116,133
  6. Step 6: Final answer
    x = 552,944.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.