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Finding the Third Proportional to 169,536 and 262,671

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Solution

The third proportional to 169,536 and 262,671 is: 406,969.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,536 : 262,671 = 262,671 : x
  2. Step 2: Convert to fraction form
    169,536/262,671 = 262,671/x
  3. Step 3: Cross multiply
    169,536x = 262,671 × 262,671
  4. Step 4: Simplify right side
    169,536x = 68,996,054,241
  5. Step 5: Solve for x
    x = 68,996,054,241/169,536
  6. Step 6: Final answer
    x = 406,969.93

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.