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Finding the Third Proportional to 74,664 and 162,448

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Solution

The third proportional to 74,664 and 162,448 is: 353,441.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,664 : 162,448 = 162,448 : x
  2. Step 2: Convert to fraction form
    74,664/162,448 = 162,448/x
  3. Step 3: Cross multiply
    74,664x = 162,448 × 162,448
  4. Step 4: Simplify right side
    74,664x = 26,389,352,704
  5. Step 5: Solve for x
    x = 26,389,352,704/74,664
  6. Step 6: Final answer
    x = 353,441.45

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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.