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Finding the Third Proportional to 138,518 and 214,905

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Solution

The third proportional to 138,518 and 214,905 is: 333,416.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,518 : 214,905 = 214,905 : x
  2. Step 2: Convert to fraction form
    138,518/214,905 = 214,905/x
  3. Step 3: Cross multiply
    138,518x = 214,905 × 214,905
  4. Step 4: Simplify right side
    138,518x = 46,184,159,025
  5. Step 5: Solve for x
    x = 46,184,159,025/138,518
  6. Step 6: Final answer
    x = 333,416.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.