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Finding the Third Proportional to 152,872.50 and 224,815.50

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Solution

The third proportional to 152,872.50 and 224,815.50 is: 330,615.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,872.50 : 224,815.50 = 224,815.50 : x
  2. Step 2: Convert to fraction form
    152,872.50/224,815.50 = 224,815.50/x
  3. Step 3: Cross multiply
    152,872.50x = 224,815.50 × 224,815.50
  4. Step 4: Simplify right side
    152,872.50x = 50,542,009,040.25
  5. Step 5: Solve for x
    x = 50,542,009,040.25/152,872.50
  6. Step 6: Final answer
    x = 330,615.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.