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Finding the Third Proportional to 132,738 and 286,606.50

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Solution

The third proportional to 132,738 and 286,606.50 is: 618,837.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,738 : 286,606.50 = 286,606.50 : x
  2. Step 2: Convert to fraction form
    132,738/286,606.50 = 286,606.50/x
  3. Step 3: Cross multiply
    132,738x = 286,606.50 × 286,606.50
  4. Step 4: Simplify right side
    132,738x = 82,143,285,842.25
  5. Step 5: Solve for x
    x = 82,143,285,842.25/132,738
  6. Step 6: Final answer
    x = 618,837.75

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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.