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Finding the Third Proportional to 191,612 and 290,068

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Solution

The third proportional to 191,612 and 290,068 is: 439,113.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,612 : 290,068 = 290,068 : x
  2. Step 2: Convert to fraction form
    191,612/290,068 = 290,068/x
  3. Step 3: Cross multiply
    191,612x = 290,068 × 290,068
  4. Step 4: Simplify right side
    191,612x = 84,139,444,624
  5. Step 5: Solve for x
    x = 84,139,444,624/191,612
  6. Step 6: Final answer
    x = 439,113.65

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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.