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Finding the Third Proportional to 135,109.50 and 293,295

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Solution

The third proportional to 135,109.50 and 293,295 is: 636,683.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,109.50 : 293,295 = 293,295 : x
  2. Step 2: Convert to fraction form
    135,109.50/293,295 = 293,295/x
  3. Step 3: Cross multiply
    135,109.50x = 293,295 × 293,295
  4. Step 4: Simplify right side
    135,109.50x = 86,021,957,025
  5. Step 5: Solve for x
    x = 86,021,957,025/135,109.50
  6. Step 6: Final answer
    x = 636,683.26

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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.