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Finding the Third Proportional to 135,643.50 and 293,886

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Solution

The third proportional to 135,643.50 and 293,886 is: 636,735.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,643.50 : 293,886 = 293,886 : x
  2. Step 2: Convert to fraction form
    135,643.50/293,886 = 293,886/x
  3. Step 3: Cross multiply
    135,643.50x = 293,886 × 293,886
  4. Step 4: Simplify right side
    135,643.50x = 86,368,980,996
  5. Step 5: Solve for x
    x = 86,368,980,996/135,643.50
  6. Step 6: Final answer
    x = 636,735.13

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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.