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Finding the Third Proportional to 74,834 and 164,428

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Solution

The third proportional to 74,834 and 164,428 is: 361,287.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,834 : 164,428 = 164,428 : x
  2. Step 2: Convert to fraction form
    74,834/164,428 = 164,428/x
  3. Step 3: Cross multiply
    74,834x = 164,428 × 164,428
  4. Step 4: Simplify right side
    74,834x = 27,036,567,184
  5. Step 5: Solve for x
    x = 27,036,567,184/74,834
  6. Step 6: Final answer
    x = 361,287.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.