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Finding the Third Proportional to 200,101 and 306,051

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Solution

The third proportional to 200,101 and 306,051 is: 468,099.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,101 : 306,051 = 306,051 : x
  2. Step 2: Convert to fraction form
    200,101/306,051 = 306,051/x
  3. Step 3: Cross multiply
    200,101x = 306,051 × 306,051
  4. Step 4: Simplify right side
    200,101x = 93,667,214,601
  5. Step 5: Solve for x
    x = 93,667,214,601/200,101
  6. Step 6: Final answer
    x = 468,099.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.