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Finding the Third Proportional to 166,545 and 245,403

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Solution

The third proportional to 166,545 and 245,403 is: 361,599.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,545 : 245,403 = 245,403 : x
  2. Step 2: Convert to fraction form
    166,545/245,403 = 245,403/x
  3. Step 3: Cross multiply
    166,545x = 245,403 × 245,403
  4. Step 4: Simplify right side
    166,545x = 60,222,632,409
  5. Step 5: Solve for x
    x = 60,222,632,409/166,545
  6. Step 6: Final answer
    x = 361,599.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.