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Finding the Third Proportional to 162,238 and 242,008

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Solution

The third proportional to 162,238 and 242,008 is: 360,999.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,238 : 242,008 = 242,008 : x
  2. Step 2: Convert to fraction form
    162,238/242,008 = 242,008/x
  3. Step 3: Cross multiply
    162,238x = 242,008 × 242,008
  4. Step 4: Simplify right side
    162,238x = 58,567,872,064
  5. Step 5: Solve for x
    x = 58,567,872,064/162,238
  6. Step 6: Final answer
    x = 360,999.72

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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.