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Finding the Third Proportional to 178,441 and 242,226

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Solution

The third proportional to 178,441 and 242,226 is: 328,811.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,441 : 242,226 = 242,226 : x
  2. Step 2: Convert to fraction form
    178,441/242,226 = 242,226/x
  3. Step 3: Cross multiply
    178,441x = 242,226 × 242,226
  4. Step 4: Simplify right side
    178,441x = 58,673,435,076
  5. Step 5: Solve for x
    x = 58,673,435,076/178,441
  6. Step 6: Final answer
    x = 328,811.40

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.