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Finding the Third Proportional to 147,176 and 227,834

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Solution

The third proportional to 147,176 and 227,834 is: 352,695.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,176 : 227,834 = 227,834 : x
  2. Step 2: Convert to fraction form
    147,176/227,834 = 227,834/x
  3. Step 3: Cross multiply
    147,176x = 227,834 × 227,834
  4. Step 4: Simplify right side
    147,176x = 51,908,331,556
  5. Step 5: Solve for x
    x = 51,908,331,556/147,176
  6. Step 6: Final answer
    x = 352,695.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.