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Finding the Third Proportional to 164,407 and 359,252

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Solution

The third proportional to 164,407 and 359,252 is: 785,015.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,407 : 359,252 = 359,252 : x
  2. Step 2: Convert to fraction form
    164,407/359,252 = 359,252/x
  3. Step 3: Cross multiply
    164,407x = 359,252 × 359,252
  4. Step 4: Simplify right side
    164,407x = 129,061,999,504
  5. Step 5: Solve for x
    x = 129,061,999,504/164,407
  6. Step 6: Final answer
    x = 785,015.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.