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Finding the Third Proportional to 194,536.69 and 291,805.03

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Solution

The third proportional to 194,536.69 and 291,805.03 is: 437,707.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,536.69 : 291,805.03 = 291,805.03 : x
  2. Step 2: Convert to fraction form
    194,536.69/291,805.03 = 291,805.03/x
  3. Step 3: Cross multiply
    194,536.69x = 291,805.03 × 291,805.03
  4. Step 4: Simplify right side
    194,536.69x = 85,150,176,262.81
  5. Step 5: Solve for x
    x = 85,150,176,262.81/194,536.69
  6. Step 6: Final answer
    x = 437,707.55

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