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Finding the Third Proportional to 145.23 and 317.99

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Solution

The third proportional to 145.23 and 317.99 is: 696.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.23 : 317.99 = 317.99 : x
  2. Step 2: Convert to fraction form
    145.23/317.99 = 317.99/x
  3. Step 3: Cross multiply
    145.23x = 317.99 × 317.99
  4. Step 4: Simplify right side
    145.23x = 101,116.55
  5. Step 5: Solve for x
    x = 101,116.55/145.23
  6. Step 6: Final answer
    x = 696.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.