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Finding the Third Proportional to 179,030 and 395,316

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Solution

The third proportional to 179,030 and 395,316 is: 872,896.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,030 : 395,316 = 395,316 : x
  2. Step 2: Convert to fraction form
    179,030/395,316 = 395,316/x
  3. Step 3: Cross multiply
    179,030x = 395,316 × 395,316
  4. Step 4: Simplify right side
    179,030x = 156,274,739,856
  5. Step 5: Solve for x
    x = 156,274,739,856/179,030
  6. Step 6: Final answer
    x = 872,896.94

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.