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Finding the Third Proportional to 179,656 and 299,409

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Solution

The third proportional to 179,656 and 299,409 is: 498,985.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,656 : 299,409 = 299,409 : x
  2. Step 2: Convert to fraction form
    179,656/299,409 = 299,409/x
  3. Step 3: Cross multiply
    179,656x = 299,409 × 299,409
  4. Step 4: Simplify right side
    179,656x = 89,645,749,281
  5. Step 5: Solve for x
    x = 89,645,749,281/179,656
  6. Step 6: Final answer
    x = 498,985.56

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.