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Finding the Third Proportional to 191,674.69 and 278,586

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Solution

The third proportional to 191,674.69 and 278,586 is: 404,905.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,674.69 : 278,586 = 278,586 : x
  2. Step 2: Convert to fraction form
    191,674.69/278,586 = 278,586/x
  3. Step 3: Cross multiply
    191,674.69x = 278,586 × 278,586
  4. Step 4: Simplify right side
    191,674.69x = 77,610,159,396
  5. Step 5: Solve for x
    x = 77,610,159,396/191,674.69
  6. Step 6: Final answer
    x = 404,905.63

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.