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Finding the Third Proportional to 164,292 and 353,121

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Solution

The third proportional to 164,292 and 353,121 is: 758,980.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,292 : 353,121 = 353,121 : x
  2. Step 2: Convert to fraction form
    164,292/353,121 = 353,121/x
  3. Step 3: Cross multiply
    164,292x = 353,121 × 353,121
  4. Step 4: Simplify right side
    164,292x = 124,694,440,641
  5. Step 5: Solve for x
    x = 124,694,440,641/164,292
  6. Step 6: Final answer
    x = 758,980.60

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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.