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Finding the Third Proportional to 158,868 and 349,326

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Solution

The third proportional to 158,868 and 349,326 is: 768,113.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,868 : 349,326 = 349,326 : x
  2. Step 2: Convert to fraction form
    158,868/349,326 = 349,326/x
  3. Step 3: Cross multiply
    158,868x = 349,326 × 349,326
  4. Step 4: Simplify right side
    158,868x = 122,028,654,276
  5. Step 5: Solve for x
    x = 122,028,654,276/158,868
  6. Step 6: Final answer
    x = 768,113.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.