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Finding the Third Proportional to 163,134 and 335,052

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Solution

The third proportional to 163,134 and 335,052 is: 688,144.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,134 : 335,052 = 335,052 : x
  2. Step 2: Convert to fraction form
    163,134/335,052 = 335,052/x
  3. Step 3: Cross multiply
    163,134x = 335,052 × 335,052
  4. Step 4: Simplify right side
    163,134x = 112,259,842,704
  5. Step 5: Solve for x
    x = 112,259,842,704/163,134
  6. Step 6: Final answer
    x = 688,144.98

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.