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Finding the Third Proportional to 175,057 and 277,895

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Solution

The third proportional to 175,057 and 277,895 is: 441,145.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,057 : 277,895 = 277,895 : x
  2. Step 2: Convert to fraction form
    175,057/277,895 = 277,895/x
  3. Step 3: Cross multiply
    175,057x = 277,895 × 277,895
  4. Step 4: Simplify right side
    175,057x = 77,225,631,025
  5. Step 5: Solve for x
    x = 77,225,631,025/175,057
  6. Step 6: Final answer
    x = 441,145.63

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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.