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Finding the Third Proportional to 164,398 and 246,597

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Solution

The third proportional to 164,398 and 246,597 is: 369,895.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,398 : 246,597 = 246,597 : x
  2. Step 2: Convert to fraction form
    164,398/246,597 = 246,597/x
  3. Step 3: Cross multiply
    164,398x = 246,597 × 246,597
  4. Step 4: Simplify right side
    164,398x = 60,810,080,409
  5. Step 5: Solve for x
    x = 60,810,080,409/164,398
  6. Step 6: Final answer
    x = 369,895.50

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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.