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Finding the Third Proportional to 162,336 and 242,844

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Solution

The third proportional to 162,336 and 242,844 is: 363,278.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,336 : 242,844 = 242,844 : x
  2. Step 2: Convert to fraction form
    162,336/242,844 = 242,844/x
  3. Step 3: Cross multiply
    162,336x = 242,844 × 242,844
  4. Step 4: Simplify right side
    162,336x = 58,973,208,336
  5. Step 5: Solve for x
    x = 58,973,208,336/162,336
  6. Step 6: Final answer
    x = 363,278.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.