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Finding the Third Proportional to 158,394 and 336,224

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Solution

The third proportional to 158,394 and 336,224 is: 713,704.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,394 : 336,224 = 336,224 : x
  2. Step 2: Convert to fraction form
    158,394/336,224 = 336,224/x
  3. Step 3: Cross multiply
    158,394x = 336,224 × 336,224
  4. Step 4: Simplify right side
    158,394x = 113,046,578,176
  5. Step 5: Solve for x
    x = 113,046,578,176/158,394
  6. Step 6: Final answer
    x = 713,704.93

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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.