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Finding the Third Proportional to 164,447 and 355,122

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Solution

The third proportional to 164,447 and 355,122 is: 766,883.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,447 : 355,122 = 355,122 : x
  2. Step 2: Convert to fraction form
    164,447/355,122 = 355,122/x
  3. Step 3: Cross multiply
    164,447x = 355,122 × 355,122
  4. Step 4: Simplify right side
    164,447x = 126,111,634,884
  5. Step 5: Solve for x
    x = 126,111,634,884/164,447
  6. Step 6: Final answer
    x = 766,883.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.