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Finding the Third Proportional to 166,070.75 and 257,854.25

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Solution

The third proportional to 166,070.75 and 257,854.25 is: 400,364.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,070.75 : 257,854.25 = 257,854.25 : x
  2. Step 2: Convert to fraction form
    166,070.75/257,854.25 = 257,854.25/x
  3. Step 3: Cross multiply
    166,070.75x = 257,854.25 × 257,854.25
  4. Step 4: Simplify right side
    166,070.75x = 66,488,814,243.06
  5. Step 5: Solve for x
    x = 66,488,814,243.06/166,070.75
  6. Step 6: Final answer
    x = 400,364.39

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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.