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Finding the Third Proportional to 155,227 and 237,295

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Solution

The third proportional to 155,227 and 237,295 is: 362,752.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,227 : 237,295 = 237,295 : x
  2. Step 2: Convert to fraction form
    155,227/237,295 = 237,295/x
  3. Step 3: Cross multiply
    155,227x = 237,295 × 237,295
  4. Step 4: Simplify right side
    155,227x = 56,308,917,025
  5. Step 5: Solve for x
    x = 56,308,917,025/155,227
  6. Step 6: Final answer
    x = 362,752.08

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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.