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Finding the Third Proportional to 135,315 and 306,051

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Solution

The third proportional to 135,315 and 306,051 is: 692,216.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,315 : 306,051 = 306,051 : x
  2. Step 2: Convert to fraction form
    135,315/306,051 = 306,051/x
  3. Step 3: Cross multiply
    135,315x = 306,051 × 306,051
  4. Step 4: Simplify right side
    135,315x = 93,667,214,601
  5. Step 5: Solve for x
    x = 93,667,214,601/135,315
  6. Step 6: Final answer
    x = 692,216.05

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.