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Finding the Third Proportional to 302.94 and 466.25

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Solution

The third proportional to 302.94 and 466.25 is: 717.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.94 : 466.25 = 466.25 : x
  2. Step 2: Convert to fraction form
    302.94/466.25 = 466.25/x
  3. Step 3: Cross multiply
    302.94x = 466.25 × 466.25
  4. Step 4: Simplify right side
    302.94x = 217,389.06
  5. Step 5: Solve for x
    x = 217,389.06/302.94
  6. Step 6: Final answer
    x = 717.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.