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Finding the Third Proportional to 76,470 and 167,700

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Solution

The third proportional to 76,470 and 167,700 is: 367,768.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,470 : 167,700 = 167,700 : x
  2. Step 2: Convert to fraction form
    76,470/167,700 = 167,700/x
  3. Step 3: Cross multiply
    76,470x = 167,700 × 167,700
  4. Step 4: Simplify right side
    76,470x = 28,123,290,000
  5. Step 5: Solve for x
    x = 28,123,290,000/76,470
  6. Step 6: Final answer
    x = 367,768.93

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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.