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Finding the Third Proportional to 151,404.19 and 327,890.53

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Solution

The third proportional to 151,404.19 and 327,890.53 is: 710,100.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,404.19 : 327,890.53 = 327,890.53 : x
  2. Step 2: Convert to fraction form
    151,404.19/327,890.53 = 327,890.53/x
  3. Step 3: Cross multiply
    151,404.19x = 327,890.53 × 327,890.53
  4. Step 4: Simplify right side
    151,404.19x = 107,512,200,483.41
  5. Step 5: Solve for x
    x = 107,512,200,483.41/151,404.19
  6. Step 6: Final answer
    x = 710,100.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.