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Finding the Third Proportional to 176,565 and 362,425

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Solution

The third proportional to 176,565 and 362,425 is: 743,929.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,565 : 362,425 = 362,425 : x
  2. Step 2: Convert to fraction form
    176,565/362,425 = 362,425/x
  3. Step 3: Cross multiply
    176,565x = 362,425 × 362,425
  4. Step 4: Simplify right side
    176,565x = 131,351,880,625
  5. Step 5: Solve for x
    x = 131,351,880,625/176,565
  6. Step 6: Final answer
    x = 743,929.32

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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.