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Finding the Third Proportional to 134,730.75 and 294,257.25

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Solution

The third proportional to 134,730.75 and 294,257.25 is: 642,669.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,730.75 : 294,257.25 = 294,257.25 : x
  2. Step 2: Convert to fraction form
    134,730.75/294,257.25 = 294,257.25/x
  3. Step 3: Cross multiply
    134,730.75x = 294,257.25 × 294,257.25
  4. Step 4: Simplify right side
    134,730.75x = 86,587,329,177.56
  5. Step 5: Solve for x
    x = 86,587,329,177.56/134,730.75
  6. Step 6: Final answer
    x = 642,669.39

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.