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Finding the Third Proportional to 173,354 and 275,822

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Solution

The third proportional to 173,354 and 275,822 is: 438,857.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,354 : 275,822 = 275,822 : x
  2. Step 2: Convert to fraction form
    173,354/275,822 = 275,822/x
  3. Step 3: Cross multiply
    173,354x = 275,822 × 275,822
  4. Step 4: Simplify right side
    173,354x = 76,077,775,684
  5. Step 5: Solve for x
    x = 76,077,775,684/173,354
  6. Step 6: Final answer
    x = 438,857.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.