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Finding the Third Proportional to 162,261 and 242,041

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Solution

The third proportional to 162,261 and 242,041 is: 361,046.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,261 : 242,041 = 242,041 : x
  2. Step 2: Convert to fraction form
    162,261/242,041 = 242,041/x
  3. Step 3: Cross multiply
    162,261x = 242,041 × 242,041
  4. Step 4: Simplify right side
    162,261x = 58,583,845,681
  5. Step 5: Solve for x
    x = 58,583,845,681/162,261
  6. Step 6: Final answer
    x = 361,046.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.