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Finding the Third Proportional to 75,270 and 164,364

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Solution

The third proportional to 75,270 and 164,364 is: 358,914.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,270 : 164,364 = 164,364 : x
  2. Step 2: Convert to fraction form
    75,270/164,364 = 164,364/x
  3. Step 3: Cross multiply
    75,270x = 164,364 × 164,364
  4. Step 4: Simplify right side
    75,270x = 27,015,524,496
  5. Step 5: Solve for x
    x = 27,015,524,496/75,270
  6. Step 6: Final answer
    x = 358,914.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.