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Finding the Third Proportional to 145.69 and 314.19

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Solution

The third proportional to 145.69 and 314.19 is: 677.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.69 : 314.19 = 314.19 : x
  2. Step 2: Convert to fraction form
    145.69/314.19 = 314.19/x
  3. Step 3: Cross multiply
    145.69x = 314.19 × 314.19
  4. Step 4: Simplify right side
    145.69x = 98,713.79
  5. Step 5: Solve for x
    x = 98,713.79/145.69
  6. Step 6: Final answer
    x = 677.57

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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.