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Finding the Third Proportional to 151,750.50 and 328,103.25

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Solution

The third proportional to 151,750.50 and 328,103.25 is: 709,399.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,750.50 : 328,103.25 = 328,103.25 : x
  2. Step 2: Convert to fraction form
    151,750.50/328,103.25 = 328,103.25/x
  3. Step 3: Cross multiply
    151,750.50x = 328,103.25 × 328,103.25
  4. Step 4: Simplify right side
    151,750.50x = 107,651,742,660.56
  5. Step 5: Solve for x
    x = 107,651,742,660.56/151,750.50
  6. Step 6: Final answer
    x = 709,399.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.