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Finding the Third Proportional to 175,473.84 and 262,040.06

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Solution

The third proportional to 175,473.84 and 262,040.06 is: 391,311.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,473.84 : 262,040.06 = 262,040.06 : x
  2. Step 2: Convert to fraction form
    175,473.84/262,040.06 = 262,040.06/x
  3. Step 3: Cross multiply
    175,473.84x = 262,040.06 × 262,040.06
  4. Step 4: Simplify right side
    175,473.84x = 68,664,994,355.00
  5. Step 5: Solve for x
    x = 68,664,994,355.00/175,473.84
  6. Step 6: Final answer
    x = 391,311.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.