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Finding the Third Proportional to 166,281.75 and 371,315.25

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Solution

The third proportional to 166,281.75 and 371,315.25 is: 829,165.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,281.75 : 371,315.25 = 371,315.25 : x
  2. Step 2: Convert to fraction form
    166,281.75/371,315.25 = 371,315.25/x
  3. Step 3: Cross multiply
    166,281.75x = 371,315.25 × 371,315.25
  4. Step 4: Simplify right side
    166,281.75x = 137,875,014,882.56
  5. Step 5: Solve for x
    x = 137,875,014,882.56/166,281.75
  6. Step 6: Final answer
    x = 829,165.05

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.