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Finding the Third Proportional to 214,314.50 and 323,416

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Solution

The third proportional to 214,314.50 and 323,416 is: 488,058.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,314.50 : 323,416 = 323,416 : x
  2. Step 2: Convert to fraction form
    214,314.50/323,416 = 323,416/x
  3. Step 3: Cross multiply
    214,314.50x = 323,416 × 323,416
  4. Step 4: Simplify right side
    214,314.50x = 104,597,909,056
  5. Step 5: Solve for x
    x = 104,597,909,056/214,314.50
  6. Step 6: Final answer
    x = 488,058.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.