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Finding the Third Proportional to 169,054 and 356,972

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Solution

The third proportional to 169,054 and 356,972 is: 753,776.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,054 : 356,972 = 356,972 : x
  2. Step 2: Convert to fraction form
    169,054/356,972 = 356,972/x
  3. Step 3: Cross multiply
    169,054x = 356,972 × 356,972
  4. Step 4: Simplify right side
    169,054x = 127,429,008,784
  5. Step 5: Solve for x
    x = 127,429,008,784/169,054
  6. Step 6: Final answer
    x = 753,776.95

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.