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Finding the Third Proportional to 136,674 and 295,810

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Solution

The third proportional to 136,674 and 295,810 is: 640,235.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,674 : 295,810 = 295,810 : x
  2. Step 2: Convert to fraction form
    136,674/295,810 = 295,810/x
  3. Step 3: Cross multiply
    136,674x = 295,810 × 295,810
  4. Step 4: Simplify right side
    136,674x = 87,503,556,100
  5. Step 5: Solve for x
    x = 87,503,556,100/136,674
  6. Step 6: Final answer
    x = 640,235.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.