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Finding the Third Proportional to 158,206 and 341,276

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Solution

The third proportional to 158,206 and 341,276 is: 736,187.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,206 : 341,276 = 341,276 : x
  2. Step 2: Convert to fraction form
    158,206/341,276 = 341,276/x
  3. Step 3: Cross multiply
    158,206x = 341,276 × 341,276
  4. Step 4: Simplify right side
    158,206x = 116,469,308,176
  5. Step 5: Solve for x
    x = 116,469,308,176/158,206
  6. Step 6: Final answer
    x = 736,187.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.