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Finding the Third Proportional to 164,769 and 246,586.50

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Solution

The third proportional to 164,769 and 246,586.50 is: 369,031.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,769 : 246,586.50 = 246,586.50 : x
  2. Step 2: Convert to fraction form
    164,769/246,586.50 = 246,586.50/x
  3. Step 3: Cross multiply
    164,769x = 246,586.50 × 246,586.50
  4. Step 4: Simplify right side
    164,769x = 60,804,901,982.25
  5. Step 5: Solve for x
    x = 60,804,901,982.25/164,769
  6. Step 6: Final answer
    x = 369,031.20

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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.