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Finding the Third Proportional to 164,062 and 341,219

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Solution

The third proportional to 164,062 and 341,219 is: 709,673.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,062 : 341,219 = 341,219 : x
  2. Step 2: Convert to fraction form
    164,062/341,219 = 341,219/x
  3. Step 3: Cross multiply
    164,062x = 341,219 × 341,219
  4. Step 4: Simplify right side
    164,062x = 116,430,405,961
  5. Step 5: Solve for x
    x = 116,430,405,961/164,062
  6. Step 6: Final answer
    x = 709,673.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.