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Finding the Third Proportional to 166,065 and 257,845.88

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Solution

The third proportional to 166,065 and 257,845.88 is: 400,352.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,065 : 257,845.88 = 257,845.88 : x
  2. Step 2: Convert to fraction form
    166,065/257,845.88 = 257,845.88/x
  3. Step 3: Cross multiply
    166,065x = 257,845.88 × 257,845.88
  4. Step 4: Simplify right side
    166,065x = 66,484,495,254.52
  5. Step 5: Solve for x
    x = 66,484,495,254.52/166,065
  6. Step 6: Final answer
    x = 400,352.24

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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.