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Finding the Third Proportional to 292.50 and 402.84

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Solution

The third proportional to 292.50 and 402.84 is: 554.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.50 : 402.84 = 402.84 : x
  2. Step 2: Convert to fraction form
    292.50/402.84 = 402.84/x
  3. Step 3: Cross multiply
    292.50x = 402.84 × 402.84
  4. Step 4: Simplify right side
    292.50x = 162,283.09
  5. Step 5: Solve for x
    x = 162,283.09/292.50
  6. Step 6: Final answer
    x = 554.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.