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Finding the Third Proportional to 166,511 and 183,415.50

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Solution

The third proportional to 166,511 and 183,415.50 is: 202,036.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,511 : 183,415.50 = 183,415.50 : x
  2. Step 2: Convert to fraction form
    166,511/183,415.50 = 183,415.50/x
  3. Step 3: Cross multiply
    166,511x = 183,415.50 × 183,415.50
  4. Step 4: Simplify right side
    166,511x = 33,641,245,640.25
  5. Step 5: Solve for x
    x = 33,641,245,640.25/166,511
  6. Step 6: Final answer
    x = 202,036.18

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.