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Finding the Third Proportional to 152,874.42 and 224,815.92

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Solution

The third proportional to 152,874.42 and 224,815.92 is: 330,612.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,874.42 : 224,815.92 = 224,815.92 : x
  2. Step 2: Convert to fraction form
    152,874.42/224,815.92 = 224,815.92/x
  3. Step 3: Cross multiply
    152,874.42x = 224,815.92 × 224,815.92
  4. Step 4: Simplify right side
    152,874.42x = 50,542,198,728.51
  5. Step 5: Solve for x
    x = 50,542,198,728.51/152,874.42
  6. Step 6: Final answer
    x = 330,612.53

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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.