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Finding the Third Proportional to 178,848 and 369,216

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Solution

The third proportional to 178,848 and 369,216 is: 762,214.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,848 : 369,216 = 369,216 : x
  2. Step 2: Convert to fraction form
    178,848/369,216 = 369,216/x
  3. Step 3: Cross multiply
    178,848x = 369,216 × 369,216
  4. Step 4: Simplify right side
    178,848x = 136,320,454,656
  5. Step 5: Solve for x
    x = 136,320,454,656/178,848
  6. Step 6: Final answer
    x = 762,214.03

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.