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Finding the Third Proportional to 156,343 and 242,238

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Solution

The third proportional to 156,343 and 242,238 is: 375,323.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,343 : 242,238 = 242,238 : x
  2. Step 2: Convert to fraction form
    156,343/242,238 = 242,238/x
  3. Step 3: Cross multiply
    156,343x = 242,238 × 242,238
  4. Step 4: Simplify right side
    156,343x = 58,679,248,644
  5. Step 5: Solve for x
    x = 58,679,248,644/156,343
  6. Step 6: Final answer
    x = 375,323.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.