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Finding the Third Proportional to 159,475.50 and 330,159.38

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Solution

The third proportional to 159,475.50 and 330,159.38 is: 683,523.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,475.50 : 330,159.38 = 330,159.38 : x
  2. Step 2: Convert to fraction form
    159,475.50/330,159.38 = 330,159.38/x
  3. Step 3: Cross multiply
    159,475.50x = 330,159.38 × 330,159.38
  4. Step 4: Simplify right side
    159,475.50x = 109,005,212,900.39
  5. Step 5: Solve for x
    x = 109,005,212,900.39/159,475.50
  6. Step 6: Final answer
    x = 683,523.26

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.