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Finding the Third Proportional to 136,858 and 300,361

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Solution

The third proportional to 136,858 and 300,361 is: 659,199.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,858 : 300,361 = 300,361 : x
  2. Step 2: Convert to fraction form
    136,858/300,361 = 300,361/x
  3. Step 3: Cross multiply
    136,858x = 300,361 × 300,361
  4. Step 4: Simplify right side
    136,858x = 90,216,730,321
  5. Step 5: Solve for x
    x = 90,216,730,321/136,858
  6. Step 6: Final answer
    x = 659,199.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.