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Finding the Third Proportional to 158,364 and 336,159

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Solution

The third proportional to 158,364 and 336,159 is: 713,564.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,364 : 336,159 = 336,159 : x
  2. Step 2: Convert to fraction form
    158,364/336,159 = 336,159/x
  3. Step 3: Cross multiply
    158,364x = 336,159 × 336,159
  4. Step 4: Simplify right side
    158,364x = 113,002,873,281
  5. Step 5: Solve for x
    x = 113,002,873,281/158,364
  6. Step 6: Final answer
    x = 713,564.15

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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.