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Finding the Third Proportional to 168,036 and 242,118

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Solution

The third proportional to 168,036 and 242,118 is: 348,860.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,036 : 242,118 = 242,118 : x
  2. Step 2: Convert to fraction form
    168,036/242,118 = 242,118/x
  3. Step 3: Cross multiply
    168,036x = 242,118 × 242,118
  4. Step 4: Simplify right side
    168,036x = 58,621,125,924
  5. Step 5: Solve for x
    x = 58,621,125,924/168,036
  6. Step 6: Final answer
    x = 348,860.52

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.