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Finding the Third Proportional to 189,282 and 416,982

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Solution

The third proportional to 189,282 and 416,982 is: 918,597.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,282 : 416,982 = 416,982 : x
  2. Step 2: Convert to fraction form
    189,282/416,982 = 416,982/x
  3. Step 3: Cross multiply
    189,282x = 416,982 × 416,982
  4. Step 4: Simplify right side
    189,282x = 173,873,988,324
  5. Step 5: Solve for x
    x = 173,873,988,324/189,282
  6. Step 6: Final answer
    x = 918,597.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.