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Finding the Third Proportional to 254,255.25 and 345,307.50

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Solution

The third proportional to 254,255.25 and 345,307.50 is: 468,966.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,255.25 : 345,307.50 = 345,307.50 : x
  2. Step 2: Convert to fraction form
    254,255.25/345,307.50 = 345,307.50/x
  3. Step 3: Cross multiply
    254,255.25x = 345,307.50 × 345,307.50
  4. Step 4: Simplify right side
    254,255.25x = 119,237,269,556.25
  5. Step 5: Solve for x
    x = 119,237,269,556.25/254,255.25
  6. Step 6: Final answer
    x = 468,966.79

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.