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Finding the Third Proportional to 155,186 and 237,287

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Solution

The third proportional to 155,186 and 237,287 is: 362,823.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,186 : 237,287 = 237,287 : x
  2. Step 2: Convert to fraction form
    155,186/237,287 = 237,287/x
  3. Step 3: Cross multiply
    155,186x = 237,287 × 237,287
  4. Step 4: Simplify right side
    155,186x = 56,305,120,369
  5. Step 5: Solve for x
    x = 56,305,120,369/155,186
  6. Step 6: Final answer
    x = 362,823.45

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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.