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Finding the Third Proportional to 164,208 and 354,056

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Solution

The third proportional to 164,208 and 354,056 is: 763,395.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,208 : 354,056 = 354,056 : x
  2. Step 2: Convert to fraction form
    164,208/354,056 = 354,056/x
  3. Step 3: Cross multiply
    164,208x = 354,056 × 354,056
  4. Step 4: Simplify right side
    164,208x = 125,355,651,136
  5. Step 5: Solve for x
    x = 125,355,651,136/164,208
  6. Step 6: Final answer
    x = 763,395.52

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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.