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Finding the Third Proportional to 164,007 and 360,303

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Solution

The third proportional to 164,007 and 360,303 is: 791,540.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,007 : 360,303 = 360,303 : x
  2. Step 2: Convert to fraction form
    164,007/360,303 = 360,303/x
  3. Step 3: Cross multiply
    164,007x = 360,303 × 360,303
  4. Step 4: Simplify right side
    164,007x = 129,818,251,809
  5. Step 5: Solve for x
    x = 129,818,251,809/164,007
  6. Step 6: Final answer
    x = 791,540.92

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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.