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Finding the Third Proportional to 79,360 and 174,592

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Solution

The third proportional to 79,360 and 174,592 is: 384,102.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,360 : 174,592 = 174,592 : x
  2. Step 2: Convert to fraction form
    79,360/174,592 = 174,592/x
  3. Step 3: Cross multiply
    79,360x = 174,592 × 174,592
  4. Step 4: Simplify right side
    79,360x = 30,482,366,464
  5. Step 5: Solve for x
    x = 30,482,366,464/79,360
  6. Step 6: Final answer
    x = 384,102.40

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Why These Related Problems?

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