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Finding the Third Proportional to 152,240 and 237,576

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Solution

The third proportional to 152,240 and 237,576 is: 370,745.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,240 : 237,576 = 237,576 : x
  2. Step 2: Convert to fraction form
    152,240/237,576 = 237,576/x
  3. Step 3: Cross multiply
    152,240x = 237,576 × 237,576
  4. Step 4: Simplify right side
    152,240x = 56,442,355,776
  5. Step 5: Solve for x
    x = 56,442,355,776/152,240
  6. Step 6: Final answer
    x = 370,745.90

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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.