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Finding the Third Proportional to 168,284 and 368,246

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Solution

The third proportional to 168,284 and 368,246 is: 805,811.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,284 : 368,246 = 368,246 : x
  2. Step 2: Convert to fraction form
    168,284/368,246 = 368,246/x
  3. Step 3: Cross multiply
    168,284x = 368,246 × 368,246
  4. Step 4: Simplify right side
    168,284x = 135,605,116,516
  5. Step 5: Solve for x
    x = 135,605,116,516/168,284
  6. Step 6: Final answer
    x = 805,811.11

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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.