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Finding the Third Proportional to 176,104.13 and 265,789.13

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Solution

The third proportional to 176,104.13 and 265,789.13 is: 401,148.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,104.13 : 265,789.13 = 265,789.13 : x
  2. Step 2: Convert to fraction form
    176,104.13/265,789.13 = 265,789.13/x
  3. Step 3: Cross multiply
    176,104.13x = 265,789.13 × 265,789.13
  4. Step 4: Simplify right side
    176,104.13x = 70,643,858,968.27
  5. Step 5: Solve for x
    x = 70,643,858,968.27/176,104.13
  6. Step 6: Final answer
    x = 401,148.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.