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Finding the Third Proportional to 192,896 and 294,903

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Solution

The third proportional to 192,896 and 294,903 is: 450,853.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,896 : 294,903 = 294,903 : x
  2. Step 2: Convert to fraction form
    192,896/294,903 = 294,903/x
  3. Step 3: Cross multiply
    192,896x = 294,903 × 294,903
  4. Step 4: Simplify right side
    192,896x = 86,967,779,409
  5. Step 5: Solve for x
    x = 86,967,779,409/192,896
  6. Step 6: Final answer
    x = 450,853.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.