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Finding the Third Proportional to 176,293 and 264,829

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Solution

The third proportional to 176,293 and 264,829 is: 397,828.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,293 : 264,829 = 264,829 : x
  2. Step 2: Convert to fraction form
    176,293/264,829 = 264,829/x
  3. Step 3: Cross multiply
    176,293x = 264,829 × 264,829
  4. Step 4: Simplify right side
    176,293x = 70,134,399,241
  5. Step 5: Solve for x
    x = 70,134,399,241/176,293
  6. Step 6: Final answer
    x = 397,828.61

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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.