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Finding the Third Proportional to 174,901 and 386,556

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Solution

The third proportional to 174,901 and 386,556 is: 854,343.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,901 : 386,556 = 386,556 : x
  2. Step 2: Convert to fraction form
    174,901/386,556 = 386,556/x
  3. Step 3: Cross multiply
    174,901x = 386,556 × 386,556
  4. Step 4: Simplify right side
    174,901x = 149,425,541,136
  5. Step 5: Solve for x
    x = 149,425,541,136/174,901
  6. Step 6: Final answer
    x = 854,343.55

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.