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Finding the Third Proportional to 168,256 and 358,972

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Solution

The third proportional to 168,256 and 358,972 is: 765,862.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,256 : 358,972 = 358,972 : x
  2. Step 2: Convert to fraction form
    168,256/358,972 = 358,972/x
  3. Step 3: Cross multiply
    168,256x = 358,972 × 358,972
  4. Step 4: Simplify right side
    168,256x = 128,860,896,784
  5. Step 5: Solve for x
    x = 128,860,896,784/168,256
  6. Step 6: Final answer
    x = 765,862.12

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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.