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Finding the Third Proportional to 176,731 and 363,830

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Solution

The third proportional to 176,731 and 363,830 is: 749,004.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,731 : 363,830 = 363,830 : x
  2. Step 2: Convert to fraction form
    176,731/363,830 = 363,830/x
  3. Step 3: Cross multiply
    176,731x = 363,830 × 363,830
  4. Step 4: Simplify right side
    176,731x = 132,372,268,900
  5. Step 5: Solve for x
    x = 132,372,268,900/176,731
  6. Step 6: Final answer
    x = 749,004.24

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.