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Finding the Third Proportional to 176,238 and 251,235

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Solution

The third proportional to 176,238 and 251,235 is: 358,146.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,238 : 251,235 = 251,235 : x
  2. Step 2: Convert to fraction form
    176,238/251,235 = 251,235/x
  3. Step 3: Cross multiply
    176,238x = 251,235 × 251,235
  4. Step 4: Simplify right side
    176,238x = 63,119,025,225
  5. Step 5: Solve for x
    x = 63,119,025,225/176,238
  6. Step 6: Final answer
    x = 358,146.51

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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.