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Finding the Third Proportional to 159,468.75 and 330,145.88

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Solution

The third proportional to 159,468.75 and 330,145.88 is: 683,496.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,468.75 : 330,145.88 = 330,145.88 : x
  2. Step 2: Convert to fraction form
    159,468.75/330,145.88 = 330,145.88/x
  3. Step 3: Cross multiply
    159,468.75x = 330,145.88 × 330,145.88
  4. Step 4: Simplify right side
    159,468.75x = 108,996,298,779.52
  5. Step 5: Solve for x
    x = 108,996,298,779.52/159,468.75
  6. Step 6: Final answer
    x = 683,496.29

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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.