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Finding the Third Proportional to 255,085.03 and 368,744.06

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Solution

The third proportional to 255,085.03 and 368,744.06 is: 533,046.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,085.03 : 368,744.06 = 368,744.06 : x
  2. Step 2: Convert to fraction form
    255,085.03/368,744.06 = 368,744.06/x
  3. Step 3: Cross multiply
    255,085.03x = 368,744.06 × 368,744.06
  4. Step 4: Simplify right side
    255,085.03x = 135,972,183,629.00
  5. Step 5: Solve for x
    x = 135,972,183,629.00/255,085.03
  6. Step 6: Final answer
    x = 533,046.50

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.