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Finding the Third Proportional to 134,769 and 293,526

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Solution

The third proportional to 134,769 and 293,526 is: 639,297.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,769 : 293,526 = 293,526 : x
  2. Step 2: Convert to fraction form
    134,769/293,526 = 293,526/x
  3. Step 3: Cross multiply
    134,769x = 293,526 × 293,526
  4. Step 4: Simplify right side
    134,769x = 86,157,512,676
  5. Step 5: Solve for x
    x = 86,157,512,676/134,769
  6. Step 6: Final answer
    x = 639,297.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.