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Finding the Third Proportional to 176,240 and 251,232

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Solution

The third proportional to 176,240 and 251,232 is: 358,133.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,240 : 251,232 = 251,232 : x
  2. Step 2: Convert to fraction form
    176,240/251,232 = 251,232/x
  3. Step 3: Cross multiply
    176,240x = 251,232 × 251,232
  4. Step 4: Simplify right side
    176,240x = 63,117,517,824
  5. Step 5: Solve for x
    x = 63,117,517,824/176,240
  6. Step 6: Final answer
    x = 358,133.90

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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.