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Finding the Third Proportional to 162,114 and 242,523

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Solution

The third proportional to 162,114 and 242,523 is: 362,815.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,114 : 242,523 = 242,523 : x
  2. Step 2: Convert to fraction form
    162,114/242,523 = 242,523/x
  3. Step 3: Cross multiply
    162,114x = 242,523 × 242,523
  4. Step 4: Simplify right side
    162,114x = 58,817,405,529
  5. Step 5: Solve for x
    x = 58,817,405,529/162,114
  6. Step 6: Final answer
    x = 362,815.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.