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Finding the Third Proportional to 158,927 and 336,808

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Solution

The third proportional to 158,927 and 336,808 is: 713,784.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,927 : 336,808 = 336,808 : x
  2. Step 2: Convert to fraction form
    158,927/336,808 = 336,808/x
  3. Step 3: Cross multiply
    158,927x = 336,808 × 336,808
  4. Step 4: Simplify right side
    158,927x = 113,439,628,864
  5. Step 5: Solve for x
    x = 113,439,628,864/158,927
  6. Step 6: Final answer
    x = 713,784.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.