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Finding the Third Proportional to 151,729.50 and 332,484

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Solution

The third proportional to 151,729.50 and 332,484 is: 728,570.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,729.50 : 332,484 = 332,484 : x
  2. Step 2: Convert to fraction form
    151,729.50/332,484 = 332,484/x
  3. Step 3: Cross multiply
    151,729.50x = 332,484 × 332,484
  4. Step 4: Simplify right side
    151,729.50x = 110,545,610,256
  5. Step 5: Solve for x
    x = 110,545,610,256/151,729.50
  6. Step 6: Final answer
    x = 728,570.32

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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.