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Finding the Third Proportional to 176,413 and 265,016

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Solution

The third proportional to 176,413 and 265,016 is: 398,119.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,413 : 265,016 = 265,016 : x
  2. Step 2: Convert to fraction form
    176,413/265,016 = 265,016/x
  3. Step 3: Cross multiply
    176,413x = 265,016 × 265,016
  4. Step 4: Simplify right side
    176,413x = 70,233,480,256
  5. Step 5: Solve for x
    x = 70,233,480,256/176,413
  6. Step 6: Final answer
    x = 398,119.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.