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Finding the Third Proportional to 203,108.63 and 314,325.75

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Solution

The third proportional to 203,108.63 and 314,325.75 is: 486,442.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,108.63 : 314,325.75 = 314,325.75 : x
  2. Step 2: Convert to fraction form
    203,108.63/314,325.75 = 314,325.75/x
  3. Step 3: Cross multiply
    203,108.63x = 314,325.75 × 314,325.75
  4. Step 4: Simplify right side
    203,108.63x = 98,800,677,113.06
  5. Step 5: Solve for x
    x = 98,800,677,113.06/203,108.63
  6. Step 6: Final answer
    x = 486,442.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.