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Finding the Third Proportional to 79,423 and 174,640

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Solution

The third proportional to 79,423 and 174,640 is: 384,008.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,423 : 174,640 = 174,640 : x
  2. Step 2: Convert to fraction form
    79,423/174,640 = 174,640/x
  3. Step 3: Cross multiply
    79,423x = 174,640 × 174,640
  4. Step 4: Simplify right side
    79,423x = 30,499,129,600
  5. Step 5: Solve for x
    x = 30,499,129,600/79,423
  6. Step 6: Final answer
    x = 384,008.78

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.