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Finding the Third Proportional to 74,984 and 163,808

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Solution

The third proportional to 74,984 and 163,808 is: 357,850.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,984 : 163,808 = 163,808 : x
  2. Step 2: Convert to fraction form
    74,984/163,808 = 163,808/x
  3. Step 3: Cross multiply
    74,984x = 163,808 × 163,808
  4. Step 4: Simplify right side
    74,984x = 26,833,060,864
  5. Step 5: Solve for x
    x = 26,833,060,864/74,984
  6. Step 6: Final answer
    x = 357,850.49

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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.