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Finding the Third Proportional to 174,985 and 361,011

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Solution

The third proportional to 174,985 and 361,011 is: 744,800.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,985 : 361,011 = 361,011 : x
  2. Step 2: Convert to fraction form
    174,985/361,011 = 361,011/x
  3. Step 3: Cross multiply
    174,985x = 361,011 × 361,011
  4. Step 4: Simplify right side
    174,985x = 130,328,942,121
  5. Step 5: Solve for x
    x = 130,328,942,121/174,985
  6. Step 6: Final answer
    x = 744,800.65

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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.