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Finding the Third Proportional to 164,259 and 237,366

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Solution

The third proportional to 164,259 and 237,366 is: 343,010.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,259 : 237,366 = 237,366 : x
  2. Step 2: Convert to fraction form
    164,259/237,366 = 237,366/x
  3. Step 3: Cross multiply
    164,259x = 237,366 × 237,366
  4. Step 4: Simplify right side
    164,259x = 56,342,617,956
  5. Step 5: Solve for x
    x = 56,342,617,956/164,259
  6. Step 6: Final answer
    x = 343,010.84

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.