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Finding the Third Proportional to 162,234 and 242,007

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Solution

The third proportional to 162,234 and 242,007 is: 361,005.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,234 : 242,007 = 242,007 : x
  2. Step 2: Convert to fraction form
    162,234/242,007 = 242,007/x
  3. Step 3: Cross multiply
    162,234x = 242,007 × 242,007
  4. Step 4: Simplify right side
    162,234x = 58,567,388,049
  5. Step 5: Solve for x
    x = 58,567,388,049/162,234
  6. Step 6: Final answer
    x = 361,005.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.