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Finding the Third Proportional to 172,294 and 365,462

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Solution

The third proportional to 172,294 and 365,462 is: 775,200.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,294 : 365,462 = 365,462 : x
  2. Step 2: Convert to fraction form
    172,294/365,462 = 365,462/x
  3. Step 3: Cross multiply
    172,294x = 365,462 × 365,462
  4. Step 4: Simplify right side
    172,294x = 133,562,473,444
  5. Step 5: Solve for x
    x = 133,562,473,444/172,294
  6. Step 6: Final answer
    x = 775,200.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.