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Finding the Third Proportional to 168,316 and 368,304

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Solution

The third proportional to 168,316 and 368,304 is: 805,911.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,316 : 368,304 = 368,304 : x
  2. Step 2: Convert to fraction form
    168,316/368,304 = 368,304/x
  3. Step 3: Cross multiply
    168,316x = 368,304 × 368,304
  4. Step 4: Simplify right side
    168,316x = 135,647,836,416
  5. Step 5: Solve for x
    x = 135,647,836,416/168,316
  6. Step 6: Final answer
    x = 805,911.72

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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.