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Finding the Third Proportional to 152,415 and 237,345

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Solution

The third proportional to 152,415 and 237,345 is: 369,600.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,415 : 237,345 = 237,345 : x
  2. Step 2: Convert to fraction form
    152,415/237,345 = 237,345/x
  3. Step 3: Cross multiply
    152,415x = 237,345 × 237,345
  4. Step 4: Simplify right side
    152,415x = 56,332,649,025
  5. Step 5: Solve for x
    x = 56,332,649,025/152,415
  6. Step 6: Final answer
    x = 369,600.43

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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.