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Finding the Third Proportional to 162,912 and 214,724

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Solution

The third proportional to 162,912 and 214,724 is: 283,014.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,912 : 214,724 = 214,724 : x
  2. Step 2: Convert to fraction form
    162,912/214,724 = 214,724/x
  3. Step 3: Cross multiply
    162,912x = 214,724 × 214,724
  4. Step 4: Simplify right side
    162,912x = 46,106,396,176
  5. Step 5: Solve for x
    x = 46,106,396,176/162,912
  6. Step 6: Final answer
    x = 283,014.12

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