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Finding the Third Proportional to 135,214 and 301,484

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Solution

The third proportional to 135,214 and 301,484 is: 672,212.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,214 : 301,484 = 301,484 : x
  2. Step 2: Convert to fraction form
    135,214/301,484 = 301,484/x
  3. Step 3: Cross multiply
    135,214x = 301,484 × 301,484
  4. Step 4: Simplify right side
    135,214x = 90,892,602,256
  5. Step 5: Solve for x
    x = 90,892,602,256/135,214
  6. Step 6: Final answer
    x = 672,212.95

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.