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Finding the Third Proportional to 179,444 and 386,534

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Solution

The third proportional to 179,444 and 386,534 is: 832,619.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,444 : 386,534 = 386,534 : x
  2. Step 2: Convert to fraction form
    179,444/386,534 = 386,534/x
  3. Step 3: Cross multiply
    179,444x = 386,534 × 386,534
  4. Step 4: Simplify right side
    179,444x = 149,408,533,156
  5. Step 5: Solve for x
    x = 149,408,533,156/179,444
  6. Step 6: Final answer
    x = 832,619.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.