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Finding the Third Proportional to 213,728.63 and 333,532.69

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Solution

The third proportional to 213,728.63 and 333,532.69 is: 520,492.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,728.63 : 333,532.69 = 333,532.69 : x
  2. Step 2: Convert to fraction form
    213,728.63/333,532.69 = 333,532.69/x
  3. Step 3: Cross multiply
    213,728.63x = 333,532.69 × 333,532.69
  4. Step 4: Simplify right side
    213,728.63x = 111,244,053,630.97
  5. Step 5: Solve for x
    x = 111,244,053,630.97/213,728.63
  6. Step 6: Final answer
    x = 520,492.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.