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Finding the Third Proportional to 191,138.50 and 303,657

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Solution

The third proportional to 191,138.50 and 303,657 is: 482,412.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,138.50 : 303,657 = 303,657 : x
  2. Step 2: Convert to fraction form
    191,138.50/303,657 = 303,657/x
  3. Step 3: Cross multiply
    191,138.50x = 303,657 × 303,657
  4. Step 4: Simplify right side
    191,138.50x = 92,207,573,649
  5. Step 5: Solve for x
    x = 92,207,573,649/191,138.50
  6. Step 6: Final answer
    x = 482,412.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.