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Finding the Third Proportional to 145.23 and 315.14

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Solution

The third proportional to 145.23 and 315.14 is: 683.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.23 : 315.14 = 315.14 : x
  2. Step 2: Convert to fraction form
    145.23/315.14 = 315.14/x
  3. Step 3: Cross multiply
    145.23x = 315.14 × 315.14
  4. Step 4: Simplify right side
    145.23x = 99,313.61
  5. Step 5: Solve for x
    x = 99,313.61/145.23
  6. Step 6: Final answer
    x = 683.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.