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Finding the Third Proportional to 179,292 and 277,608

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Solution

The third proportional to 179,292 and 277,608 is: 429,836.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,292 : 277,608 = 277,608 : x
  2. Step 2: Convert to fraction form
    179,292/277,608 = 277,608/x
  3. Step 3: Cross multiply
    179,292x = 277,608 × 277,608
  4. Step 4: Simplify right side
    179,292x = 77,066,201,664
  5. Step 5: Solve for x
    x = 77,066,201,664/179,292
  6. Step 6: Final answer
    x = 429,836.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.