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Finding the Third Proportional to 166,536 and 253,948.50

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Solution

The third proportional to 166,536 and 253,948.50 is: 387,242.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,536 : 253,948.50 = 253,948.50 : x
  2. Step 2: Convert to fraction form
    166,536/253,948.50 = 253,948.50/x
  3. Step 3: Cross multiply
    166,536x = 253,948.50 × 253,948.50
  4. Step 4: Simplify right side
    166,536x = 64,489,840,652.25
  5. Step 5: Solve for x
    x = 64,489,840,652.25/166,536
  6. Step 6: Final answer
    x = 387,242.64

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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.