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Finding the Third Proportional to 166,283.50 and 253,577.50

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Solution

The third proportional to 166,283.50 and 253,577.50 is: 386,698.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,283.50 : 253,577.50 = 253,577.50 : x
  2. Step 2: Convert to fraction form
    166,283.50/253,577.50 = 253,577.50/x
  3. Step 3: Cross multiply
    166,283.50x = 253,577.50 × 253,577.50
  4. Step 4: Simplify right side
    166,283.50x = 64,301,548,506.25
  5. Step 5: Solve for x
    x = 64,301,548,506.25/166,283.50
  6. Step 6: Final answer
    x = 386,698.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.