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Finding the Third Proportional to 162.49 and 214.84

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Solution

The third proportional to 162.49 and 214.84 is: 284.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.49 : 214.84 = 214.84 : x
  2. Step 2: Convert to fraction form
    162.49/214.84 = 214.84/x
  3. Step 3: Cross multiply
    162.49x = 214.84 × 214.84
  4. Step 4: Simplify right side
    162.49x = 46,156.16
  5. Step 5: Solve for x
    x = 46,156.16/162.49
  6. Step 6: Final answer
    x = 284.05

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.