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Finding the Third Proportional to 175,158 and 277,722

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Solution

The third proportional to 175,158 and 277,722 is: 440,342.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,158 : 277,722 = 277,722 : x
  2. Step 2: Convert to fraction form
    175,158/277,722 = 277,722/x
  3. Step 3: Cross multiply
    175,158x = 277,722 × 277,722
  4. Step 4: Simplify right side
    175,158x = 77,129,509,284
  5. Step 5: Solve for x
    x = 77,129,509,284/175,158
  6. Step 6: Final answer
    x = 440,342.49

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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.