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Finding the Third Proportional to 194,779.69 and 291,394.97

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Solution

The third proportional to 194,779.69 and 291,394.97 is: 435,933.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,779.69 : 291,394.97 = 291,394.97 : x
  2. Step 2: Convert to fraction form
    194,779.69/291,394.97 = 291,394.97/x
  3. Step 3: Cross multiply
    194,779.69x = 291,394.97 × 291,394.97
  4. Step 4: Simplify right side
    194,779.69x = 84,911,027,812.81
  5. Step 5: Solve for x
    x = 84,911,027,812.81/194,779.69
  6. Step 6: Final answer
    x = 435,933.69

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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.