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Finding the Third Proportional to 166,290.75 and 295,645.50

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Solution

The third proportional to 166,290.75 and 295,645.50 is: 525,623.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,290.75 : 295,645.50 = 295,645.50 : x
  2. Step 2: Convert to fraction form
    166,290.75/295,645.50 = 295,645.50/x
  3. Step 3: Cross multiply
    166,290.75x = 295,645.50 × 295,645.50
  4. Step 4: Simplify right side
    166,290.75x = 87,406,261,670.25
  5. Step 5: Solve for x
    x = 87,406,261,670.25/166,290.75
  6. Step 6: Final answer
    x = 525,623.11

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.