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Finding the Third Proportional to 145.83 and 315.21

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Solution

The third proportional to 145.83 and 315.21 is: 681.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.83 : 315.21 = 315.21 : x
  2. Step 2: Convert to fraction form
    145.83/315.21 = 315.21/x
  3. Step 3: Cross multiply
    145.83x = 315.21 × 315.21
  4. Step 4: Simplify right side
    145.83x = 99,357.94
  5. Step 5: Solve for x
    x = 99,357.94/145.83
  6. Step 6: Final answer
    x = 681.34

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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.