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Finding the Third Proportional to 164,261 and 237,369

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Solution

The third proportional to 164,261 and 237,369 is: 343,015.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,261 : 237,369 = 237,369 : x
  2. Step 2: Convert to fraction form
    164,261/237,369 = 237,369/x
  3. Step 3: Cross multiply
    164,261x = 237,369 × 237,369
  4. Step 4: Simplify right side
    164,261x = 56,344,042,161
  5. Step 5: Solve for x
    x = 56,344,042,161/164,261
  6. Step 6: Final answer
    x = 343,015.34

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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.