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Finding the Third Proportional to 117,432 and 176,184

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Solution

The third proportional to 117,432 and 176,184 is: 264,330.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,432 : 176,184 = 176,184 : x
  2. Step 2: Convert to fraction form
    117,432/176,184 = 176,184/x
  3. Step 3: Cross multiply
    117,432x = 176,184 × 176,184
  4. Step 4: Simplify right side
    117,432x = 31,040,801,856
  5. Step 5: Solve for x
    x = 31,040,801,856/117,432
  6. Step 6: Final answer
    x = 264,330.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.