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Finding the Third Proportional to 179,048 and 242,304

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Solution

The third proportional to 179,048 and 242,304 is: 327,907.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,048 : 242,304 = 242,304 : x
  2. Step 2: Convert to fraction form
    179,048/242,304 = 242,304/x
  3. Step 3: Cross multiply
    179,048x = 242,304 × 242,304
  4. Step 4: Simplify right side
    179,048x = 58,711,228,416
  5. Step 5: Solve for x
    x = 58,711,228,416/179,048
  6. Step 6: Final answer
    x = 327,907.76

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.