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Finding the Third Proportional to 157,636 and 350,260

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Solution

The third proportional to 157,636 and 350,260 is: 778,261.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,636 : 350,260 = 350,260 : x
  2. Step 2: Convert to fraction form
    157,636/350,260 = 350,260/x
  3. Step 3: Cross multiply
    157,636x = 350,260 × 350,260
  4. Step 4: Simplify right side
    157,636x = 122,682,067,600
  5. Step 5: Solve for x
    x = 122,682,067,600/157,636
  6. Step 6: Final answer
    x = 778,261.74

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.