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Finding the Third Proportional to 169,384 and 362,104

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Solution

The third proportional to 169,384 and 362,104 is: 774,095.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,384 : 362,104 = 362,104 : x
  2. Step 2: Convert to fraction form
    169,384/362,104 = 362,104/x
  3. Step 3: Cross multiply
    169,384x = 362,104 × 362,104
  4. Step 4: Simplify right side
    169,384x = 131,119,306,816
  5. Step 5: Solve for x
    x = 131,119,306,816/169,384
  6. Step 6: Final answer
    x = 774,095.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.