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Finding the Third Proportional to 176,194 and 251,169

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Solution

The third proportional to 176,194 and 251,169 is: 358,047.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,194 : 251,169 = 251,169 : x
  2. Step 2: Convert to fraction form
    176,194/251,169 = 251,169/x
  3. Step 3: Cross multiply
    176,194x = 251,169 × 251,169
  4. Step 4: Simplify right side
    176,194x = 63,085,866,561
  5. Step 5: Solve for x
    x = 63,085,866,561/176,194
  6. Step 6: Final answer
    x = 358,047.76

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.