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Finding the Third Proportional to 162,246 and 242,019

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Solution

The third proportional to 162,246 and 242,019 is: 361,014.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,246 : 242,019 = 242,019 : x
  2. Step 2: Convert to fraction form
    162,246/242,019 = 242,019/x
  3. Step 3: Cross multiply
    162,246x = 242,019 × 242,019
  4. Step 4: Simplify right side
    162,246x = 58,573,196,361
  5. Step 5: Solve for x
    x = 58,573,196,361/162,246
  6. Step 6: Final answer
    x = 361,014.73

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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.