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Finding the Third Proportional to 254,949.75 and 375,003

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Solution

The third proportional to 254,949.75 and 375,003 is: 551,588.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,949.75 : 375,003 = 375,003 : x
  2. Step 2: Convert to fraction form
    254,949.75/375,003 = 375,003/x
  3. Step 3: Cross multiply
    254,949.75x = 375,003 × 375,003
  4. Step 4: Simplify right side
    254,949.75x = 140,627,250,009
  5. Step 5: Solve for x
    x = 140,627,250,009/254,949.75
  6. Step 6: Final answer
    x = 551,588.11

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