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Finding the Third Proportional to 150,052.50 and 327,987

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Solution

The third proportional to 150,052.50 and 327,987 is: 716,918.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,052.50 : 327,987 = 327,987 : x
  2. Step 2: Convert to fraction form
    150,052.50/327,987 = 327,987/x
  3. Step 3: Cross multiply
    150,052.50x = 327,987 × 327,987
  4. Step 4: Simplify right side
    150,052.50x = 107,575,472,169
  5. Step 5: Solve for x
    x = 107,575,472,169/150,052.50
  6. Step 6: Final answer
    x = 716,918.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.