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Finding the Third Proportional to 179,088 and 389,280

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Solution

The third proportional to 179,088 and 389,280 is: 846,170.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,088 : 389,280 = 389,280 : x
  2. Step 2: Convert to fraction form
    179,088/389,280 = 389,280/x
  3. Step 3: Cross multiply
    179,088x = 389,280 × 389,280
  4. Step 4: Simplify right side
    179,088x = 151,538,918,400
  5. Step 5: Solve for x
    x = 151,538,918,400/179,088
  6. Step 6: Final answer
    x = 846,170.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.