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Finding the Third Proportional to 168,297 and 368,184

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Solution

The third proportional to 168,297 and 368,184 is: 805,477.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,297 : 368,184 = 368,184 : x
  2. Step 2: Convert to fraction form
    168,297/368,184 = 368,184/x
  3. Step 3: Cross multiply
    168,297x = 368,184 × 368,184
  4. Step 4: Simplify right side
    168,297x = 135,559,457,856
  5. Step 5: Solve for x
    x = 135,559,457,856/168,297
  6. Step 6: Final answer
    x = 805,477.57

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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.