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Finding the Third Proportional to 74,313 and 163,386

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Solution

The third proportional to 74,313 and 163,386 is: 359,223.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,313 : 163,386 = 163,386 : x
  2. Step 2: Convert to fraction form
    74,313/163,386 = 163,386/x
  3. Step 3: Cross multiply
    74,313x = 163,386 × 163,386
  4. Step 4: Simplify right side
    74,313x = 26,694,984,996
  5. Step 5: Solve for x
    x = 26,694,984,996/74,313
  6. Step 6: Final answer
    x = 359,223.62

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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.