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Finding the Third Proportional to 174,985 and 361,010

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Solution

The third proportional to 174,985 and 361,010 is: 744,796.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,985 : 361,010 = 361,010 : x
  2. Step 2: Convert to fraction form
    174,985/361,010 = 361,010/x
  3. Step 3: Cross multiply
    174,985x = 361,010 × 361,010
  4. Step 4: Simplify right side
    174,985x = 130,328,220,100
  5. Step 5: Solve for x
    x = 130,328,220,100/174,985
  6. Step 6: Final answer
    x = 744,796.53

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.