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Finding the Third Proportional to 167,984 and 363,076

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Solution

The third proportional to 167,984 and 363,076 is: 784,742.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,984 : 363,076 = 363,076 : x
  2. Step 2: Convert to fraction form
    167,984/363,076 = 363,076/x
  3. Step 3: Cross multiply
    167,984x = 363,076 × 363,076
  4. Step 4: Simplify right side
    167,984x = 131,824,181,776
  5. Step 5: Solve for x
    x = 131,824,181,776/167,984
  6. Step 6: Final answer
    x = 784,742.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.