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Finding the Third Proportional to 199,755 and 301,770

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Solution

The third proportional to 199,755 and 301,770 is: 455,884.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,755 : 301,770 = 301,770 : x
  2. Step 2: Convert to fraction form
    199,755/301,770 = 301,770/x
  3. Step 3: Cross multiply
    199,755x = 301,770 × 301,770
  4. Step 4: Simplify right side
    199,755x = 91,065,132,900
  5. Step 5: Solve for x
    x = 91,065,132,900/199,755
  6. Step 6: Final answer
    x = 455,884.12

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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.