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Finding the Third Proportional to 242,176 and 332,443

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Solution

The third proportional to 242,176 and 332,443 is: 456,355.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,176 : 332,443 = 332,443 : x
  2. Step 2: Convert to fraction form
    242,176/332,443 = 332,443/x
  3. Step 3: Cross multiply
    242,176x = 332,443 × 332,443
  4. Step 4: Simplify right side
    242,176x = 110,518,348,249
  5. Step 5: Solve for x
    x = 110,518,348,249/242,176
  6. Step 6: Final answer
    x = 456,355.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.