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Finding the Third Proportional to 168,258 and 358,976

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Solution

The third proportional to 168,258 and 358,976 is: 765,870.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,258 : 358,976 = 358,976 : x
  2. Step 2: Convert to fraction form
    168,258/358,976 = 358,976/x
  3. Step 3: Cross multiply
    168,258x = 358,976 × 358,976
  4. Step 4: Simplify right side
    168,258x = 128,863,768,576
  5. Step 5: Solve for x
    x = 128,863,768,576/168,258
  6. Step 6: Final answer
    x = 765,870.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.