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Finding the Third Proportional to 152,931.75 and 241,005

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Solution

The third proportional to 152,931.75 and 241,005 is: 379,799.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,931.75 : 241,005 = 241,005 : x
  2. Step 2: Convert to fraction form
    152,931.75/241,005 = 241,005/x
  3. Step 3: Cross multiply
    152,931.75x = 241,005 × 241,005
  4. Step 4: Simplify right side
    152,931.75x = 58,083,410,025
  5. Step 5: Solve for x
    x = 58,083,410,025/152,931.75
  6. Step 6: Final answer
    x = 379,799.55

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.