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Finding the Third Proportional to 179,334 and 380,538

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Solution

The third proportional to 179,334 and 380,538 is: 807,483.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,334 : 380,538 = 380,538 : x
  2. Step 2: Convert to fraction form
    179,334/380,538 = 380,538/x
  3. Step 3: Cross multiply
    179,334x = 380,538 × 380,538
  4. Step 4: Simplify right side
    179,334x = 144,809,169,444
  5. Step 5: Solve for x
    x = 144,809,169,444/179,334
  6. Step 6: Final answer
    x = 807,483.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.