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Finding the Third Proportional to 157,855.78 and 325,017.56

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Solution

The third proportional to 157,855.78 and 325,017.56 is: 669,195.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,855.78 : 325,017.56 = 325,017.56 : x
  2. Step 2: Convert to fraction form
    157,855.78/325,017.56 = 325,017.56/x
  3. Step 3: Cross multiply
    157,855.78x = 325,017.56 × 325,017.56
  4. Step 4: Simplify right side
    157,855.78x = 105,636,415,933.44
  5. Step 5: Solve for x
    x = 105,636,415,933.44/157,855.78
  6. Step 6: Final answer
    x = 669,195.74

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.