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Finding the Third Proportional to 166,525 and 253,959

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Solution

The third proportional to 166,525 and 253,959 is: 387,300.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,525 : 253,959 = 253,959 : x
  2. Step 2: Convert to fraction form
    166,525/253,959 = 253,959/x
  3. Step 3: Cross multiply
    166,525x = 253,959 × 253,959
  4. Step 4: Simplify right side
    166,525x = 64,495,173,681
  5. Step 5: Solve for x
    x = 64,495,173,681/166,525
  6. Step 6: Final answer
    x = 387,300.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.