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Finding the Third Proportional to 255,085 and 368,745

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Solution

The third proportional to 255,085 and 368,745 is: 533,049.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,085 : 368,745 = 368,745 : x
  2. Step 2: Convert to fraction form
    255,085/368,745 = 368,745/x
  3. Step 3: Cross multiply
    255,085x = 368,745 × 368,745
  4. Step 4: Simplify right side
    255,085x = 135,972,875,025
  5. Step 5: Solve for x
    x = 135,972,875,025/255,085
  6. Step 6: Final answer
    x = 533,049.28

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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.