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Finding the Third Proportional to 364.75 and 921.88

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Solution

The third proportional to 364.75 and 921.88 is: 2,329.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.75 : 921.88 = 921.88 : x
  2. Step 2: Convert to fraction form
    364.75/921.88 = 921.88/x
  3. Step 3: Cross multiply
    364.75x = 921.88 × 921.88
  4. Step 4: Simplify right side
    364.75x = 849,853.52
  5. Step 5: Solve for x
    x = 849,853.52/364.75
  6. Step 6: Final answer
    x = 2,329.96

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Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.