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Finding the Third Proportional to 176,142 and 251,811

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Solution

The third proportional to 176,142 and 251,811 is: 359,986.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,142 : 251,811 = 251,811 : x
  2. Step 2: Convert to fraction form
    176,142/251,811 = 251,811/x
  3. Step 3: Cross multiply
    176,142x = 251,811 × 251,811
  4. Step 4: Simplify right side
    176,142x = 63,408,779,721
  5. Step 5: Solve for x
    x = 63,408,779,721/176,142
  6. Step 6: Final answer
    x = 359,986.71

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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.