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Finding the Third Proportional to 182,322 and 275,998

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Solution

The third proportional to 182,322 and 275,998 is: 417,804.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,322 : 275,998 = 275,998 : x
  2. Step 2: Convert to fraction form
    182,322/275,998 = 275,998/x
  3. Step 3: Cross multiply
    182,322x = 275,998 × 275,998
  4. Step 4: Simplify right side
    182,322x = 76,174,896,004
  5. Step 5: Solve for x
    x = 76,174,896,004/182,322
  6. Step 6: Final answer
    x = 417,804.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.