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Finding the Third Proportional to 178,604 and 242,558

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Solution

The third proportional to 178,604 and 242,558 is: 329,412.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,604 : 242,558 = 242,558 : x
  2. Step 2: Convert to fraction form
    178,604/242,558 = 242,558/x
  3. Step 3: Cross multiply
    178,604x = 242,558 × 242,558
  4. Step 4: Simplify right side
    178,604x = 58,834,383,364
  5. Step 5: Solve for x
    x = 58,834,383,364/178,604
  6. Step 6: Final answer
    x = 329,412.46

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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.