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Finding the Third Proportional to 162,728.16 and 333,384.19

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Solution

The third proportional to 162,728.16 and 333,384.19 is: 683,010.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,728.16 : 333,384.19 = 333,384.19 : x
  2. Step 2: Convert to fraction form
    162,728.16/333,384.19 = 333,384.19/x
  3. Step 3: Cross multiply
    162,728.16x = 333,384.19 × 333,384.19
  4. Step 4: Simplify right side
    162,728.16x = 111,145,016,475.04
  5. Step 5: Solve for x
    x = 111,145,016,475.04/162,728.16
  6. Step 6: Final answer
    x = 683,010.36

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.