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Finding the Third Proportional to 74,288 and 154,700

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Solution

The third proportional to 74,288 and 154,700 is: 322,152.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,288 : 154,700 = 154,700 : x
  2. Step 2: Convert to fraction form
    74,288/154,700 = 154,700/x
  3. Step 3: Cross multiply
    74,288x = 154,700 × 154,700
  4. Step 4: Simplify right side
    74,288x = 23,932,090,000
  5. Step 5: Solve for x
    x = 23,932,090,000/74,288
  6. Step 6: Final answer
    x = 322,152.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.