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Finding the Third Proportional to 175,075 and 277,921

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Solution

The third proportional to 175,075 and 277,921 is: 441,182.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,075 : 277,921 = 277,921 : x
  2. Step 2: Convert to fraction form
    175,075/277,921 = 277,921/x
  3. Step 3: Cross multiply
    175,075x = 277,921 × 277,921
  4. Step 4: Simplify right side
    175,075x = 77,240,082,241
  5. Step 5: Solve for x
    x = 77,240,082,241/175,075
  6. Step 6: Final answer
    x = 441,182.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.