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Finding the Third Proportional to 193,886 and 291,030

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Solution

The third proportional to 193,886 and 291,030 is: 436,846.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,886 : 291,030 = 291,030 : x
  2. Step 2: Convert to fraction form
    193,886/291,030 = 291,030/x
  3. Step 3: Cross multiply
    193,886x = 291,030 × 291,030
  4. Step 4: Simplify right side
    193,886x = 84,698,460,900
  5. Step 5: Solve for x
    x = 84,698,460,900/193,886
  6. Step 6: Final answer
    x = 436,846.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.