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Finding the Third Proportional to 336 and 501.75

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Solution

The third proportional to 336 and 501.75 is: 749.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    336 : 501.75 = 501.75 : x
  2. Step 2: Convert to fraction form
    336/501.75 = 501.75/x
  3. Step 3: Cross multiply
    336x = 501.75 × 501.75
  4. Step 4: Simplify right side
    336x = 251,753.06
  5. Step 5: Solve for x
    x = 251,753.06/336
  6. Step 6: Final answer
    x = 749.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.