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Finding the Third Proportional to 179,339 and 380,548

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Solution

The third proportional to 179,339 and 380,548 is: 807,503.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,339 : 380,548 = 380,548 : x
  2. Step 2: Convert to fraction form
    179,339/380,548 = 380,548/x
  3. Step 3: Cross multiply
    179,339x = 380,548 × 380,548
  4. Step 4: Simplify right side
    179,339x = 144,816,780,304
  5. Step 5: Solve for x
    x = 144,816,780,304/179,339
  6. Step 6: Final answer
    x = 807,503.00

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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.