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Finding the Third Proportional to 182,316 and 275,989

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Solution

The third proportional to 182,316 and 275,989 is: 417,790.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,316 : 275,989 = 275,989 : x
  2. Step 2: Convert to fraction form
    182,316/275,989 = 275,989/x
  3. Step 3: Cross multiply
    182,316x = 275,989 × 275,989
  4. Step 4: Simplify right side
    182,316x = 76,169,928,121
  5. Step 5: Solve for x
    x = 76,169,928,121/182,316
  6. Step 6: Final answer
    x = 417,790.69

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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.