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Finding the Third Proportional to 164,464 and 352,256

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Solution

The third proportional to 164,464 and 352,256 is: 754,476.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,464 : 352,256 = 352,256 : x
  2. Step 2: Convert to fraction form
    164,464/352,256 = 352,256/x
  3. Step 3: Cross multiply
    164,464x = 352,256 × 352,256
  4. Step 4: Simplify right side
    164,464x = 124,084,289,536
  5. Step 5: Solve for x
    x = 124,084,289,536/164,464
  6. Step 6: Final answer
    x = 754,476.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.