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Finding the Third Proportional to 164,020 and 353,194

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Solution

The third proportional to 164,020 and 353,194 is: 760,553.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,020 : 353,194 = 353,194 : x
  2. Step 2: Convert to fraction form
    164,020/353,194 = 353,194/x
  3. Step 3: Cross multiply
    164,020x = 353,194 × 353,194
  4. Step 4: Simplify right side
    164,020x = 124,746,001,636
  5. Step 5: Solve for x
    x = 124,746,001,636/164,020
  6. Step 6: Final answer
    x = 760,553.60

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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.