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Finding the Third Proportional to 152,176 and 237,476

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Solution

The third proportional to 152,176 and 237,476 is: 370,589.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,176 : 237,476 = 237,476 : x
  2. Step 2: Convert to fraction form
    152,176/237,476 = 237,476/x
  3. Step 3: Cross multiply
    152,176x = 237,476 × 237,476
  4. Step 4: Simplify right side
    152,176x = 56,394,850,576
  5. Step 5: Solve for x
    x = 56,394,850,576/152,176
  6. Step 6: Final answer
    x = 370,589.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.