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Finding the Third Proportional to 179,403 and 289,062

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Solution

The third proportional to 179,403 and 289,062 is: 465,749.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,403 : 289,062 = 289,062 : x
  2. Step 2: Convert to fraction form
    179,403/289,062 = 289,062/x
  3. Step 3: Cross multiply
    179,403x = 289,062 × 289,062
  4. Step 4: Simplify right side
    179,403x = 83,556,839,844
  5. Step 5: Solve for x
    x = 83,556,839,844/179,403
  6. Step 6: Final answer
    x = 465,749.40

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.