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Finding the Third Proportional to 176,013 and 239,148

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Solution

The third proportional to 176,013 and 239,148 is: 324,929.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,013 : 239,148 = 239,148 : x
  2. Step 2: Convert to fraction form
    176,013/239,148 = 239,148/x
  3. Step 3: Cross multiply
    176,013x = 239,148 × 239,148
  4. Step 4: Simplify right side
    176,013x = 57,191,765,904
  5. Step 5: Solve for x
    x = 57,191,765,904/176,013
  6. Step 6: Final answer
    x = 324,929.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.