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Finding the Third Proportional to 175,624.88 and 377,890.31

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Solution

The third proportional to 175,624.88 and 377,890.31 is: 813,102.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,624.88 : 377,890.31 = 377,890.31 : x
  2. Step 2: Convert to fraction form
    175,624.88/377,890.31 = 377,890.31/x
  3. Step 3: Cross multiply
    175,624.88x = 377,890.31 × 377,890.31
  4. Step 4: Simplify right side
    175,624.88x = 142,801,088,281.35
  5. Step 5: Solve for x
    x = 142,801,088,281.35/175,624.88
  6. Step 6: Final answer
    x = 813,102.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.