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Finding the Third Proportional to 155,222 and 237,344

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Solution

The third proportional to 155,222 and 237,344 is: 362,913.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,222 : 237,344 = 237,344 : x
  2. Step 2: Convert to fraction form
    155,222/237,344 = 237,344/x
  3. Step 3: Cross multiply
    155,222x = 237,344 × 237,344
  4. Step 4: Simplify right side
    155,222x = 56,332,174,336
  5. Step 5: Solve for x
    x = 56,332,174,336/155,222
  6. Step 6: Final answer
    x = 362,913.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.