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Finding the Third Proportional to 239,330.50 and 354,265

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Solution

The third proportional to 239,330.50 and 354,265 is: 524,394.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,330.50 : 354,265 = 354,265 : x
  2. Step 2: Convert to fraction form
    239,330.50/354,265 = 354,265/x
  3. Step 3: Cross multiply
    239,330.50x = 354,265 × 354,265
  4. Step 4: Simplify right side
    239,330.50x = 125,503,690,225
  5. Step 5: Solve for x
    x = 125,503,690,225/239,330.50
  6. Step 6: Final answer
    x = 524,394.89

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.