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Finding the Third Proportional to 85,308 and 176,080

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Solution

The third proportional to 85,308 and 176,080 is: 363,437.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,308 : 176,080 = 176,080 : x
  2. Step 2: Convert to fraction form
    85,308/176,080 = 176,080/x
  3. Step 3: Cross multiply
    85,308x = 176,080 × 176,080
  4. Step 4: Simplify right side
    85,308x = 31,004,166,400
  5. Step 5: Solve for x
    x = 31,004,166,400/85,308
  6. Step 6: Final answer
    x = 363,437.97

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.