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Finding the Third Proportional to 164,028 and 245,186

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Solution

The third proportional to 164,028 and 245,186 is: 366,499.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,028 : 245,186 = 245,186 : x
  2. Step 2: Convert to fraction form
    164,028/245,186 = 245,186/x
  3. Step 3: Cross multiply
    164,028x = 245,186 × 245,186
  4. Step 4: Simplify right side
    164,028x = 60,116,174,596
  5. Step 5: Solve for x
    x = 60,116,174,596/164,028
  6. Step 6: Final answer
    x = 366,499.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.