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Finding the Third Proportional to 168,914 and 367,033

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Solution

The third proportional to 168,914 and 367,033 is: 797,525.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,914 : 367,033 = 367,033 : x
  2. Step 2: Convert to fraction form
    168,914/367,033 = 367,033/x
  3. Step 3: Cross multiply
    168,914x = 367,033 × 367,033
  4. Step 4: Simplify right side
    168,914x = 134,713,223,089
  5. Step 5: Solve for x
    x = 134,713,223,089/168,914
  6. Step 6: Final answer
    x = 797,525.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.