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Finding the Third Proportional to 191,763 and 297,195.75

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Solution

The third proportional to 191,763 and 297,195.75 is: 460,596.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,763 : 297,195.75 = 297,195.75 : x
  2. Step 2: Convert to fraction form
    191,763/297,195.75 = 297,195.75/x
  3. Step 3: Cross multiply
    191,763x = 297,195.75 × 297,195.75
  4. Step 4: Simplify right side
    191,763x = 88,325,313,818.06
  5. Step 5: Solve for x
    x = 88,325,313,818.06/191,763
  6. Step 6: Final answer
    x = 460,596.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.