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Finding the Third Proportional to 255,083.06 and 368,741.81

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Solution

The third proportional to 255,083.06 and 368,741.81 is: 533,044.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,083.06 : 368,741.81 = 368,741.81 : x
  2. Step 2: Convert to fraction form
    255,083.06/368,741.81 = 368,741.81/x
  3. Step 3: Cross multiply
    255,083.06x = 368,741.81 × 368,741.81
  4. Step 4: Simplify right side
    255,083.06x = 135,970,524,285.79
  5. Step 5: Solve for x
    x = 135,970,524,285.79/255,083.06
  6. Step 6: Final answer
    x = 533,044.11

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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.