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Finding the Third Proportional to 170,454 and 367,071

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Solution

The third proportional to 170,454 and 367,071 is: 790,483.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,454 : 367,071 = 367,071 : x
  2. Step 2: Convert to fraction form
    170,454/367,071 = 367,071/x
  3. Step 3: Cross multiply
    170,454x = 367,071 × 367,071
  4. Step 4: Simplify right side
    170,454x = 134,741,119,041
  5. Step 5: Solve for x
    x = 134,741,119,041/170,454
  6. Step 6: Final answer
    x = 790,483.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.