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Finding the Third Proportional to 242,192 and 359,832

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Solution

The third proportional to 242,192 and 359,832 is: 534,613.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,192 : 359,832 = 359,832 : x
  2. Step 2: Convert to fraction form
    242,192/359,832 = 359,832/x
  3. Step 3: Cross multiply
    242,192x = 359,832 × 359,832
  4. Step 4: Simplify right side
    242,192x = 129,479,068,224
  5. Step 5: Solve for x
    x = 129,479,068,224/242,192
  6. Step 6: Final answer
    x = 534,613.32

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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.