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Finding the Third Proportional to 97,209 and 208,512

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Solution

The third proportional to 97,209 and 208,512 is: 447,255.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,209 : 208,512 = 208,512 : x
  2. Step 2: Convert to fraction form
    97,209/208,512 = 208,512/x
  3. Step 3: Cross multiply
    97,209x = 208,512 × 208,512
  4. Step 4: Simplify right side
    97,209x = 43,477,254,144
  5. Step 5: Solve for x
    x = 43,477,254,144/97,209
  6. Step 6: Final answer
    x = 447,255.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.