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Finding the Third Proportional to 166,056.75 and 257,833.13

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Solution

The third proportional to 166,056.75 and 257,833.13 is: 400,332.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,056.75 : 257,833.13 = 257,833.13 : x
  2. Step 2: Convert to fraction form
    166,056.75/257,833.13 = 257,833.13/x
  3. Step 3: Cross multiply
    166,056.75x = 257,833.13 × 257,833.13
  4. Step 4: Simplify right side
    166,056.75x = 66,477,920,347.27
  5. Step 5: Solve for x
    x = 66,477,920,347.27/166,056.75
  6. Step 6: Final answer
    x = 400,332.54

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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.