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Finding the Third Proportional to 162,112 and 242,520

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Solution

The third proportional to 162,112 and 242,520 is: 362,810.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,112 : 242,520 = 242,520 : x
  2. Step 2: Convert to fraction form
    162,112/242,520 = 242,520/x
  3. Step 3: Cross multiply
    162,112x = 242,520 × 242,520
  4. Step 4: Simplify right side
    162,112x = 58,815,950,400
  5. Step 5: Solve for x
    x = 58,815,950,400/162,112
  6. Step 6: Final answer
    x = 362,810.59

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