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Finding the Third Proportional to 74,674 and 156,263

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Solution

The third proportional to 74,674 and 156,263 is: 326,996.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,674 : 156,263 = 156,263 : x
  2. Step 2: Convert to fraction form
    74,674/156,263 = 156,263/x
  3. Step 3: Cross multiply
    74,674x = 156,263 × 156,263
  4. Step 4: Simplify right side
    74,674x = 24,418,125,169
  5. Step 5: Solve for x
    x = 24,418,125,169/74,674
  6. Step 6: Final answer
    x = 326,996.35

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.