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Finding the Third Proportional to 169,456 and 334,659

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Solution

The third proportional to 169,456 and 334,659 is: 660,918.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,456 : 334,659 = 334,659 : x
  2. Step 2: Convert to fraction form
    169,456/334,659 = 334,659/x
  3. Step 3: Cross multiply
    169,456x = 334,659 × 334,659
  4. Step 4: Simplify right side
    169,456x = 111,996,646,281
  5. Step 5: Solve for x
    x = 111,996,646,281/169,456
  6. Step 6: Final answer
    x = 660,918.74

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.