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Finding the Third Proportional to 135,346.50 and 293,745

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Solution

The third proportional to 135,346.50 and 293,745 is: 637,520.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,346.50 : 293,745 = 293,745 : x
  2. Step 2: Convert to fraction form
    135,346.50/293,745 = 293,745/x
  3. Step 3: Cross multiply
    135,346.50x = 293,745 × 293,745
  4. Step 4: Simplify right side
    135,346.50x = 86,286,125,025
  5. Step 5: Solve for x
    x = 86,286,125,025/135,346.50
  6. Step 6: Final answer
    x = 637,520.18

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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.