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Finding the Third Proportional to 170,604 and 367,128

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Solution

The third proportional to 170,604 and 367,128 is: 790,034.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,604 : 367,128 = 367,128 : x
  2. Step 2: Convert to fraction form
    170,604/367,128 = 367,128/x
  3. Step 3: Cross multiply
    170,604x = 367,128 × 367,128
  4. Step 4: Simplify right side
    170,604x = 134,782,968,384
  5. Step 5: Solve for x
    x = 134,782,968,384/170,604
  6. Step 6: Final answer
    x = 790,034.05

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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.