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Finding the Third Proportional to 166,287 and 253,582

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Solution

The third proportional to 166,287 and 253,582 is: 386,703.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,287 : 253,582 = 253,582 : x
  2. Step 2: Convert to fraction form
    166,287/253,582 = 253,582/x
  3. Step 3: Cross multiply
    166,287x = 253,582 × 253,582
  4. Step 4: Simplify right side
    166,287x = 64,303,830,724
  5. Step 5: Solve for x
    x = 64,303,830,724/166,287
  6. Step 6: Final answer
    x = 386,703.90

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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.