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Finding the Third Proportional to 176,567 and 362,441

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Solution

The third proportional to 176,567 and 362,441 is: 743,986.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,567 : 362,441 = 362,441 : x
  2. Step 2: Convert to fraction form
    176,567/362,441 = 362,441/x
  3. Step 3: Cross multiply
    176,567x = 362,441 × 362,441
  4. Step 4: Simplify right side
    176,567x = 131,363,478,481
  5. Step 5: Solve for x
    x = 131,363,478,481/176,567
  6. Step 6: Final answer
    x = 743,986.58

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.