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Finding the Third Proportional to 142,535 and 301,162

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Solution

The third proportional to 142,535 and 301,162 is: 636,324.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,535 : 301,162 = 301,162 : x
  2. Step 2: Convert to fraction form
    142,535/301,162 = 301,162/x
  3. Step 3: Cross multiply
    142,535x = 301,162 × 301,162
  4. Step 4: Simplify right side
    142,535x = 90,698,550,244
  5. Step 5: Solve for x
    x = 90,698,550,244/142,535
  6. Step 6: Final answer
    x = 636,324.76

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.