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Finding the Third Proportional to 142,088 and 236,788

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Solution

The third proportional to 142,088 and 236,788 is: 394,604.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,088 : 236,788 = 236,788 : x
  2. Step 2: Convert to fraction form
    142,088/236,788 = 236,788/x
  3. Step 3: Cross multiply
    142,088x = 236,788 × 236,788
  4. Step 4: Simplify right side
    142,088x = 56,068,556,944
  5. Step 5: Solve for x
    x = 56,068,556,944/142,088
  6. Step 6: Final answer
    x = 394,604.45

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.