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Finding the Third Proportional to 169,043 and 241,715

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Solution

The third proportional to 169,043 and 241,715 is: 345,628.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,043 : 241,715 = 241,715 : x
  2. Step 2: Convert to fraction form
    169,043/241,715 = 241,715/x
  3. Step 3: Cross multiply
    169,043x = 241,715 × 241,715
  4. Step 4: Simplify right side
    169,043x = 58,426,141,225
  5. Step 5: Solve for x
    x = 58,426,141,225/169,043
  6. Step 6: Final answer
    x = 345,628.87

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.