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Finding the Third Proportional to 97,345 and 211,214

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Solution

The third proportional to 97,345 and 211,214 is: 458,280.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,345 : 211,214 = 211,214 : x
  2. Step 2: Convert to fraction form
    97,345/211,214 = 211,214/x
  3. Step 3: Cross multiply
    97,345x = 211,214 × 211,214
  4. Step 4: Simplify right side
    97,345x = 44,611,353,796
  5. Step 5: Solve for x
    x = 44,611,353,796/97,345
  6. Step 6: Final answer
    x = 458,280.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.