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Finding the Third Proportional to 131,594.63 and 285,059.25

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Solution

The third proportional to 131,594.63 and 285,059.25 is: 617,493.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,594.63 : 285,059.25 = 285,059.25 : x
  2. Step 2: Convert to fraction form
    131,594.63/285,059.25 = 285,059.25/x
  3. Step 3: Cross multiply
    131,594.63x = 285,059.25 × 285,059.25
  4. Step 4: Simplify right side
    131,594.63x = 81,258,776,010.56
  5. Step 5: Solve for x
    x = 81,258,776,010.56/131,594.63
  6. Step 6: Final answer
    x = 617,493.12

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.