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Finding the Third Proportional to 162,468 and 242,349

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Solution

The third proportional to 162,468 and 242,349 is: 361,505.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,468 : 242,349 = 242,349 : x
  2. Step 2: Convert to fraction form
    162,468/242,349 = 242,349/x
  3. Step 3: Cross multiply
    162,468x = 242,349 × 242,349
  4. Step 4: Simplify right side
    162,468x = 58,733,037,801
  5. Step 5: Solve for x
    x = 58,733,037,801/162,468
  6. Step 6: Final answer
    x = 361,505.27

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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.