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Finding the Third Proportional to 191,674 and 290,197.50

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Solution

The third proportional to 191,674 and 290,197.50 is: 439,363.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,674 : 290,197.50 = 290,197.50 : x
  2. Step 2: Convert to fraction form
    191,674/290,197.50 = 290,197.50/x
  3. Step 3: Cross multiply
    191,674x = 290,197.50 × 290,197.50
  4. Step 4: Simplify right side
    191,674x = 84,214,589,006.25
  5. Step 5: Solve for x
    x = 84,214,589,006.25/191,674
  6. Step 6: Final answer
    x = 439,363.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.