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Finding the Third Proportional to 84,731 and 176,480

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Solution

The third proportional to 84,731 and 176,480 is: 367,577.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,731 : 176,480 = 176,480 : x
  2. Step 2: Convert to fraction form
    84,731/176,480 = 176,480/x
  3. Step 3: Cross multiply
    84,731x = 176,480 × 176,480
  4. Step 4: Simplify right side
    84,731x = 31,145,190,400
  5. Step 5: Solve for x
    x = 31,145,190,400/84,731
  6. Step 6: Final answer
    x = 367,577.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.