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Finding the Third Proportional to 174,980 and 277,830

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Solution

The third proportional to 174,980 and 277,830 is: 441,133.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,980 : 277,830 = 277,830 : x
  2. Step 2: Convert to fraction form
    174,980/277,830 = 277,830/x
  3. Step 3: Cross multiply
    174,980x = 277,830 × 277,830
  4. Step 4: Simplify right side
    174,980x = 77,189,508,900
  5. Step 5: Solve for x
    x = 77,189,508,900/174,980
  6. Step 6: Final answer
    x = 441,133.32

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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.