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Finding the Third Proportional to 164,208 and 353,746

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Solution

The third proportional to 164,208 and 353,746 is: 762,059.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,208 : 353,746 = 353,746 : x
  2. Step 2: Convert to fraction form
    164,208/353,746 = 353,746/x
  3. Step 3: Cross multiply
    164,208x = 353,746 × 353,746
  4. Step 4: Simplify right side
    164,208x = 125,136,232,516
  5. Step 5: Solve for x
    x = 125,136,232,516/164,208
  6. Step 6: Final answer
    x = 762,059.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.