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Finding the Third Proportional to 174,918 and 274,990.50

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Solution

The third proportional to 174,918 and 274,990.50 is: 432,315.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,918 : 274,990.50 = 274,990.50 : x
  2. Step 2: Convert to fraction form
    174,918/274,990.50 = 274,990.50/x
  3. Step 3: Cross multiply
    174,918x = 274,990.50 × 274,990.50
  4. Step 4: Simplify right side
    174,918x = 75,619,775,090.25
  5. Step 5: Solve for x
    x = 75,619,775,090.25/174,918
  6. Step 6: Final answer
    x = 432,315.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.