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Finding the Third Proportional to 142,148 and 306,172

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Solution

The third proportional to 142,148 and 306,172 is: 659,462.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,148 : 306,172 = 306,172 : x
  2. Step 2: Convert to fraction form
    142,148/306,172 = 306,172/x
  3. Step 3: Cross multiply
    142,148x = 306,172 × 306,172
  4. Step 4: Simplify right side
    142,148x = 93,741,293,584
  5. Step 5: Solve for x
    x = 93,741,293,584/142,148
  6. Step 6: Final answer
    x = 659,462.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.