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Finding the Third Proportional to 254,969.25 and 375,072.75

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Solution

The third proportional to 254,969.25 and 375,072.75 is: 551,751.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,969.25 : 375,072.75 = 375,072.75 : x
  2. Step 2: Convert to fraction form
    254,969.25/375,072.75 = 375,072.75/x
  3. Step 3: Cross multiply
    254,969.25x = 375,072.75 × 375,072.75
  4. Step 4: Simplify right side
    254,969.25x = 140,679,567,792.56
  5. Step 5: Solve for x
    x = 140,679,567,792.56/254,969.25
  6. Step 6: Final answer
    x = 551,751.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.