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Finding the Third Proportional to 176,024 and 234,636

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Solution

The third proportional to 176,024 and 234,636 is: 312,764.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,024 : 234,636 = 234,636 : x
  2. Step 2: Convert to fraction form
    176,024/234,636 = 234,636/x
  3. Step 3: Cross multiply
    176,024x = 234,636 × 234,636
  4. Step 4: Simplify right side
    176,024x = 55,054,052,496
  5. Step 5: Solve for x
    x = 55,054,052,496/176,024
  6. Step 6: Final answer
    x = 312,764.47

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.