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Finding the Third Proportional to 171,773 and 247,407

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Solution

The third proportional to 171,773 and 247,407 is: 356,343.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,773 : 247,407 = 247,407 : x
  2. Step 2: Convert to fraction form
    171,773/247,407 = 247,407/x
  3. Step 3: Cross multiply
    171,773x = 247,407 × 247,407
  4. Step 4: Simplify right side
    171,773x = 61,210,223,649
  5. Step 5: Solve for x
    x = 61,210,223,649/171,773
  6. Step 6: Final answer
    x = 356,343.68

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.