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Finding the Third Proportional to 164,068 and 341,232

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Solution

The third proportional to 164,068 and 341,232 is: 709,701.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,068 : 341,232 = 341,232 : x
  2. Step 2: Convert to fraction form
    164,068/341,232 = 341,232/x
  3. Step 3: Cross multiply
    164,068x = 341,232 × 341,232
  4. Step 4: Simplify right side
    164,068x = 116,439,277,824
  5. Step 5: Solve for x
    x = 116,439,277,824/164,068
  6. Step 6: Final answer
    x = 709,701.33

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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.