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Finding the Third Proportional to 145,540.13 and 313,203.38

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Solution

The third proportional to 145,540.13 and 313,203.38 is: 674,015.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,540.13 : 313,203.38 = 313,203.38 : x
  2. Step 2: Convert to fraction form
    145,540.13/313,203.38 = 313,203.38/x
  3. Step 3: Cross multiply
    145,540.13x = 313,203.38 × 313,203.38
  4. Step 4: Simplify right side
    145,540.13x = 98,096,354,111.39
  5. Step 5: Solve for x
    x = 98,096,354,111.39/145,540.13
  6. Step 6: Final answer
    x = 674,015.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.