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Finding the Third Proportional to 214,998 and 336,014

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Solution

The third proportional to 214,998 and 336,014 is: 525,146.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,998 : 336,014 = 336,014 : x
  2. Step 2: Convert to fraction form
    214,998/336,014 = 336,014/x
  3. Step 3: Cross multiply
    214,998x = 336,014 × 336,014
  4. Step 4: Simplify right side
    214,998x = 112,905,408,196
  5. Step 5: Solve for x
    x = 112,905,408,196/214,998
  6. Step 6: Final answer
    x = 525,146.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.