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Finding the Third Proportional to 164,286 and 247,158

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Solution

The third proportional to 164,286 and 247,158 is: 371,833.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,286 : 247,158 = 247,158 : x
  2. Step 2: Convert to fraction form
    164,286/247,158 = 247,158/x
  3. Step 3: Cross multiply
    164,286x = 247,158 × 247,158
  4. Step 4: Simplify right side
    164,286x = 61,087,076,964
  5. Step 5: Solve for x
    x = 61,087,076,964/164,286
  6. Step 6: Final answer
    x = 371,833.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.