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Finding the Third Proportional to 165,560 and 350,842

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Solution

The third proportional to 165,560 and 350,842 is: 743,477.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,560 : 350,842 = 350,842 : x
  2. Step 2: Convert to fraction form
    165,560/350,842 = 350,842/x
  3. Step 3: Cross multiply
    165,560x = 350,842 × 350,842
  4. Step 4: Simplify right side
    165,560x = 123,090,108,964
  5. Step 5: Solve for x
    x = 123,090,108,964/165,560
  6. Step 6: Final answer
    x = 743,477.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.