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Finding the Third Proportional to 169,462 and 352,959

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Solution

The third proportional to 169,462 and 352,959 is: 735,150.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,462 : 352,959 = 352,959 : x
  2. Step 2: Convert to fraction form
    169,462/352,959 = 352,959/x
  3. Step 3: Cross multiply
    169,462x = 352,959 × 352,959
  4. Step 4: Simplify right side
    169,462x = 124,580,055,681
  5. Step 5: Solve for x
    x = 124,580,055,681/169,462
  6. Step 6: Final answer
    x = 735,150.39

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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.