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Finding the Third Proportional to 164,009 and 360,307

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Solution

The third proportional to 164,009 and 360,307 is: 791,548.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,009 : 360,307 = 360,307 : x
  2. Step 2: Convert to fraction form
    164,009/360,307 = 360,307/x
  3. Step 3: Cross multiply
    164,009x = 360,307 × 360,307
  4. Step 4: Simplify right side
    164,009x = 129,821,134,249
  5. Step 5: Solve for x
    x = 129,821,134,249/164,009
  6. Step 6: Final answer
    x = 791,548.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.