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Finding the Third Proportional to 166,112.25 and 257,710.50

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Solution

The third proportional to 166,112.25 and 257,710.50 is: 399,818.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,112.25 : 257,710.50 = 257,710.50 : x
  2. Step 2: Convert to fraction form
    166,112.25/257,710.50 = 257,710.50/x
  3. Step 3: Cross multiply
    166,112.25x = 257,710.50 × 257,710.50
  4. Step 4: Simplify right side
    166,112.25x = 66,414,701,810.25
  5. Step 5: Solve for x
    x = 66,414,701,810.25/166,112.25
  6. Step 6: Final answer
    x = 399,818.21

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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.