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Finding the Third Proportional to 190,284 and 295,770

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Solution

The third proportional to 190,284 and 295,770 is: 459,733.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,284 : 295,770 = 295,770 : x
  2. Step 2: Convert to fraction form
    190,284/295,770 = 295,770/x
  3. Step 3: Cross multiply
    190,284x = 295,770 × 295,770
  4. Step 4: Simplify right side
    190,284x = 87,479,892,900
  5. Step 5: Solve for x
    x = 87,479,892,900/190,284
  6. Step 6: Final answer
    x = 459,733.31

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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.