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Finding the Third Proportional to 135,034 and 290,842

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Solution

The third proportional to 135,034 and 290,842 is: 626,427.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,034 : 290,842 = 290,842 : x
  2. Step 2: Convert to fraction form
    135,034/290,842 = 290,842/x
  3. Step 3: Cross multiply
    135,034x = 290,842 × 290,842
  4. Step 4: Simplify right side
    135,034x = 84,589,068,964
  5. Step 5: Solve for x
    x = 84,589,068,964/135,034
  6. Step 6: Final answer
    x = 626,427.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.