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Finding the Third Proportional to 170,742 and 368,840

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Solution

The third proportional to 170,742 and 368,840 is: 796,774.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,742 : 368,840 = 368,840 : x
  2. Step 2: Convert to fraction form
    170,742/368,840 = 368,840/x
  3. Step 3: Cross multiply
    170,742x = 368,840 × 368,840
  4. Step 4: Simplify right side
    170,742x = 136,042,945,600
  5. Step 5: Solve for x
    x = 136,042,945,600/170,742
  6. Step 6: Final answer
    x = 796,774.93

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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.