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Finding the Third Proportional to 162,410 and 242,790

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Solution

The third proportional to 162,410 and 242,790 is: 362,951.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,410 : 242,790 = 242,790 : x
  2. Step 2: Convert to fraction form
    162,410/242,790 = 242,790/x
  3. Step 3: Cross multiply
    162,410x = 242,790 × 242,790
  4. Step 4: Simplify right side
    162,410x = 58,946,984,100
  5. Step 5: Solve for x
    x = 58,946,984,100/162,410
  6. Step 6: Final answer
    x = 362,951.69

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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.