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Finding the Third Proportional to 169,265 and 361,858

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Solution

The third proportional to 169,265 and 361,858 is: 773,587.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,265 : 361,858 = 361,858 : x
  2. Step 2: Convert to fraction form
    169,265/361,858 = 361,858/x
  3. Step 3: Cross multiply
    169,265x = 361,858 × 361,858
  4. Step 4: Simplify right side
    169,265x = 130,941,212,164
  5. Step 5: Solve for x
    x = 130,941,212,164/169,265
  6. Step 6: Final answer
    x = 773,587.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.