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Finding the Third Proportional to 316 and 507.25

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Solution

The third proportional to 316 and 507.25 is: 814.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    316 : 507.25 = 507.25 : x
  2. Step 2: Convert to fraction form
    316/507.25 = 507.25/x
  3. Step 3: Cross multiply
    316x = 507.25 × 507.25
  4. Step 4: Simplify right side
    316x = 257,302.56
  5. Step 5: Solve for x
    x = 257,302.56/316
  6. Step 6: Final answer
    x = 814.25

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.