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Finding the Third Proportional to 74,330 and 162,764

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Solution

The third proportional to 74,330 and 162,764 is: 356,412.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,330 : 162,764 = 162,764 : x
  2. Step 2: Convert to fraction form
    74,330/162,764 = 162,764/x
  3. Step 3: Cross multiply
    74,330x = 162,764 × 162,764
  4. Step 4: Simplify right side
    74,330x = 26,492,119,696
  5. Step 5: Solve for x
    x = 26,492,119,696/74,330
  6. Step 6: Final answer
    x = 356,412.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.