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Finding the Third Proportional to 171,842 and 262,899

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Solution

The third proportional to 171,842 and 262,899 is: 402,206.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,842 : 262,899 = 262,899 : x
  2. Step 2: Convert to fraction form
    171,842/262,899 = 262,899/x
  3. Step 3: Cross multiply
    171,842x = 262,899 × 262,899
  4. Step 4: Simplify right side
    171,842x = 69,115,884,201
  5. Step 5: Solve for x
    x = 69,115,884,201/171,842
  6. Step 6: Final answer
    x = 402,206.00

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.