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Finding the Third Proportional to 76,440 and 167,604

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Solution

The third proportional to 76,440 and 167,604 is: 367,492.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,440 : 167,604 = 167,604 : x
  2. Step 2: Convert to fraction form
    76,440/167,604 = 167,604/x
  3. Step 3: Cross multiply
    76,440x = 167,604 × 167,604
  4. Step 4: Simplify right side
    76,440x = 28,091,100,816
  5. Step 5: Solve for x
    x = 28,091,100,816/76,440
  6. Step 6: Final answer
    x = 367,492.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.