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Finding the Third Proportional to 132,828.75 and 286,647.75

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Solution

The third proportional to 132,828.75 and 286,647.75 is: 618,592.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,828.75 : 286,647.75 = 286,647.75 : x
  2. Step 2: Convert to fraction form
    132,828.75/286,647.75 = 286,647.75/x
  3. Step 3: Cross multiply
    132,828.75x = 286,647.75 × 286,647.75
  4. Step 4: Simplify right side
    132,828.75x = 82,166,932,580.06
  5. Step 5: Solve for x
    x = 82,166,932,580.06/132,828.75
  6. Step 6: Final answer
    x = 618,592.98

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.