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Finding the Third Proportional to 169,384.50 and 334,485

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Solution

The third proportional to 169,384.50 and 334,485 is: 660,510.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,384.50 : 334,485 = 334,485 : x
  2. Step 2: Convert to fraction form
    169,384.50/334,485 = 334,485/x
  3. Step 3: Cross multiply
    169,384.50x = 334,485 × 334,485
  4. Step 4: Simplify right side
    169,384.50x = 111,880,215,225
  5. Step 5: Solve for x
    x = 111,880,215,225/169,384.50
  6. Step 6: Final answer
    x = 660,510.35

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.