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Finding the Third Proportional to 145.34 and 313.56

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Solution

The third proportional to 145.34 and 313.56 is: 676.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.34 : 313.56 = 313.56 : x
  2. Step 2: Convert to fraction form
    145.34/313.56 = 313.56/x
  3. Step 3: Cross multiply
    145.34x = 313.56 × 313.56
  4. Step 4: Simplify right side
    145.34x = 98,318.99
  5. Step 5: Solve for x
    x = 98,318.99/145.34
  6. Step 6: Final answer
    x = 676.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.