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Finding the Third Proportional to 170,106 and 369,768

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Solution

The third proportional to 170,106 and 369,768 is: 803,783.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,106 : 369,768 = 369,768 : x
  2. Step 2: Convert to fraction form
    170,106/369,768 = 369,768/x
  3. Step 3: Cross multiply
    170,106x = 369,768 × 369,768
  4. Step 4: Simplify right side
    170,106x = 136,728,373,824
  5. Step 5: Solve for x
    x = 136,728,373,824/170,106
  6. Step 6: Final answer
    x = 803,783.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.