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Finding the Third Proportional to 133,726 and 293,695

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Solution

The third proportional to 133,726 and 293,695 is: 645,026.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,726 : 293,695 = 293,695 : x
  2. Step 2: Convert to fraction form
    133,726/293,695 = 293,695/x
  3. Step 3: Cross multiply
    133,726x = 293,695 × 293,695
  4. Step 4: Simplify right side
    133,726x = 86,256,753,025
  5. Step 5: Solve for x
    x = 86,256,753,025/133,726
  6. Step 6: Final answer
    x = 645,026.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.