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Finding the Third Proportional to 233,277.75 and 328,729.50

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Solution

The third proportional to 233,277.75 and 328,729.50 is: 463,237.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,277.75 : 328,729.50 = 328,729.50 : x
  2. Step 2: Convert to fraction form
    233,277.75/328,729.50 = 328,729.50/x
  3. Step 3: Cross multiply
    233,277.75x = 328,729.50 × 328,729.50
  4. Step 4: Simplify right side
    233,277.75x = 108,063,084,170.25
  5. Step 5: Solve for x
    x = 108,063,084,170.25/233,277.75
  6. Step 6: Final answer
    x = 463,237.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.