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Finding the Third Proportional to 174,556 and 375,833

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Solution

The third proportional to 174,556 and 375,833 is: 809,198.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,556 : 375,833 = 375,833 : x
  2. Step 2: Convert to fraction form
    174,556/375,833 = 375,833/x
  3. Step 3: Cross multiply
    174,556x = 375,833 × 375,833
  4. Step 4: Simplify right side
    174,556x = 141,250,443,889
  5. Step 5: Solve for x
    x = 141,250,443,889/174,556
  6. Step 6: Final answer
    x = 809,198.45

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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.