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Finding the Third Proportional to 166,770 and 258,619.50

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Solution

The third proportional to 166,770 and 258,619.50 is: 401,055.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,770 : 258,619.50 = 258,619.50 : x
  2. Step 2: Convert to fraction form
    166,770/258,619.50 = 258,619.50/x
  3. Step 3: Cross multiply
    166,770x = 258,619.50 × 258,619.50
  4. Step 4: Simplify right side
    166,770x = 66,884,045,780.25
  5. Step 5: Solve for x
    x = 66,884,045,780.25/166,770
  6. Step 6: Final answer
    x = 401,055.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.