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Finding the Third Proportional to 135,327.38 and 293,706

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Solution

The third proportional to 135,327.38 and 293,706 is: 637,440.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,327.38 : 293,706 = 293,706 : x
  2. Step 2: Convert to fraction form
    135,327.38/293,706 = 293,706/x
  3. Step 3: Cross multiply
    135,327.38x = 293,706 × 293,706
  4. Step 4: Simplify right side
    135,327.38x = 86,263,214,436
  5. Step 5: Solve for x
    x = 86,263,214,436/135,327.38
  6. Step 6: Final answer
    x = 637,440.98

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Why These Related Problems?

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